Gianni Dal Maso | Academic Influence

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Gianni Dal Maso

Mathematics

#2456

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#3792

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Algebraic Geometry

#127

World Rank

#134

Historical Rank

Geometry

#123

World Rank

#189

Historical Rank

Algebra

#194

World Rank

#293

Historical Rank

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Mathematics

Gianni Dal Maso's Degrees

Bachelors Mathematics University of Padua
Masters Mathematics University of Padua
PhD Mathematics University of Milan

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Why Is Gianni Dal Maso Influential?

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According to Wikipedia, Gianni Dal Maso is an Italian mathematician who is active in the fields of partial differential equations, calculus of variations and applied mathematics. Scientific activity Dal Maso studied at Scuola Normale Superiore under the guidance of Ennio De Giorgi and is professor of mathematics at the International School for Advanced Studies at Trieste, where he also serves as deputy director. Dal Maso has dealt with a number of questions related to partial differential equations and calculus of variations, covering a range of topics going from lower semicontinuity problems for multiple integrals to existence theorem for so called free discontinuity problems, from the study of asymptotic behaviour of variational problems via so called Γ-convergence methods to fine properties of solutions to obstacle problems. In the last years he has been considerably involved in the study of problems arising from applied mathematics, developing methods aimed at describing the evolution of fractures in plasticity problems.

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Gianni Dal Maso's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An Introduction to-convergence (1993) (2412)
Definition and weak stability of nonconservative products (1995) (777)
Definition and existence of renormalized solutions of elliptic equations with general measure data (1997) (553)
Quasistatic Crack Growth in Nonlinear Elasticity (2005) (324)
A Model for the Quasi-Static Growth¶of Brittle Fractures:¶Existence and Approximation Results (2001) (305)
An Introduction to [gamma]-convergence (1993) (300)
An extension theorem from connected sets, and homogenization in general periodic domains (1992) (252)
Fine Properties of Functions with Bounded Deformation (1997) (251)
A variational method in image segmentation: Existence and approximation results (1992) (213)
Quasistatic Evolution Problems for Linearly Elastic–Perfectly Plastic Materials (2004) (210)
Nonlinear stochastic homogenization and ergodic theory. (1986) (206)
An existence result for a class of shape optimization problems (1993) (197)
A general chain rule for distributional derivatives (1990) (183)
Wiener's criterion and Γ-convergence (1987) (172)
On the relaxation in BV(Ω; Rm) of quasi-convex integrals (1992) (161)
Integral representation on BV(ω) of Γ-limits of variational integrals (1979) (158)
Variational Formulation of Softening Phenomena in Fracture Mechanics: The One‐Dimensional Case (1999) (157)
Nonlinear Stochastic Homogenization (1986) (155)
The calibration method for the Mumford-Shah functional and free-discontinuity problems (1999) (133)
Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions (1991) (130)
G-convergence of monotone operators (1990) (118)
Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators (1997) (111)
Compactness and lower semicontinuity properties in $SBD(\Omega)$ (1998) (106)
Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems (1998) (105)
Wiener criteria and energy decay for relaxed dirichlet problems (1986) (105)
Generalised functions of bounded deformation (2013) (98)
Linearized Elasticity as Γ-Limit of Finite Elasticity (2002) (97)
Discrete approximation of the Mumford-Shah functional in dimension two (1999) (96)
On the integral representation of certain local functionals (1983) (96)
Γ-convergence and optimal control problems (1982) (93)
Semicontinuity and relaxation properties of a curvature depending functional in 2D (1993) (88)
Integral representation and relaxation of local functionals (1985) (88)
A Vanishing Viscosity Approach to Quasistatic Evolution in Plasticity with Softening (2006) (86)
NEW RESULTS ON THE ASYMPTOTIC BEHAVIOR OF DIRICHLET PROBLEMS IN PERFORATED DOMAINSDIRICHLET PROBLEMS IN PERFORATED DOMAINS (1994) (84)
On systems of ordinary differential equations with measures as controls (1991) (81)
New lower semicontinuity results for polyconvex integrals (1994) (80)
Non-local approximation of the Mumford-Shah functional (1997) (80)
γ-limits of integral functionals (1980) (78)
Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling (2011) (78)
Integral representation and relaxation of convex local functionals on $BV(\Omega )$ (1993) (72)
On the lower semicontinuity of certain integral functionals (1983) (70)
Quasistatic crack growth in finite elasticity with non-interpenetration (2010) (69)
A MODEL FOR THE QUASI-STATIC GROWTH OF BRITTLE FRACTURES BASED ON LOCAL MINIMIZATION (2002) (63)
Composite Media and Homogenization Theory (1991) (58)
Γ — Convergence and calculus of variations (1983) (57)
Relaxation of the non-parametric plateau problem with an obstacle (1988) (54)
Some properties of reachable solutions of nonlinear elliptic equations with measure data (1997) (53)
Stopping times and Γ-convergence (1987) (53)
A Higher Order Model for Image Restoration: The One-Dimensional Case (2007) (52)
Further remarks on the lower semicontinuity of polyconvex integrals (1994) (51)
Quasi-static crack growth for a cohesive zone model with prescribed crack path (2005) (49)
Weak lower semicontinuity of polyconvex integrals: a borderline case (1995) (48)
Limits of nonlinear Dirichlet problems in varying domains (1988) (48)
Linear elasticity obtained from finite elasticity by Γ -convergence under weak coerciveness conditions (2012) (46)
Γ-Limits of obstacles (1981) (46)
Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains (2002) (42)
Autonomous Integral Functionals with Discontinuous Nonconvex Integrands: Lipschitz Regularity of Minimizers, DuBois—Reymond Necessary Conditions, and Hamilton—Jacobi Equations (2002) (42)
Correctors for the homogeneization of monotone operators (1990) (42)
EXISTENCE FOR WAVE EQUATIONS ON DOMAINS WITH ARBITRARY GROWING CRACKS (2011) (40)
Globally stable quasistatic evolution in plasticity with softening (2007) (39)
FRACTURE MODELS AS -LIMITS OF DAMAGE MODELS (2013) (37)
Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions (1990) (37)
Quasistatic Evolution in Perfect Plasticity as Limit of Dynamic Processes (2014) (37)
Asymptotic behaviour of minimum problems with bilateral obstacles (1981) (35)
A pointwise regularity theory for the two-obstacle problem (1989) (35)
Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities (2000) (34)
Quasistatic evolution for Cam-Clay plasticity: properties of the viscosity solution (2012) (33)
An Existence and Uniqueness Result for the Motion of Self-Propelled Microswimmers (2011) (33)
Quasistatic crack growth in finite elasticity (2004) (33)
Fracture models as Gamma-limits of damage models (2012) (33)
Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case (2016) (32)
$\Gamma $-convergence and $\mu $-capacities (1987) (32)
A STABILITY RESULT FOR NONLINEAR NEUMANN PROBLEMS UNDER BOUNDARY VARIATIONS (2002) (30)
Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets (1985) (30)
Stochastic Homogenisation of Free-Discontinuity Problems (2017) (29)
Asymptotic Behaviour for Dirichlet Problems in Domains Bounded by Thin Layers (1989) (28)
Integral functionals determined by their minima (1986) (27)
Higher-Order Quasiconvexity Reduces to Quasiconvexity (2003) (25)
Time-dependent systems of generalized Young measures (2005) (25)
Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces (2014) (25)
Singular perturbation models in phase transitions for second-order materials (2011) (24)
Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition (2016) (23)
A Derivation Theorem for Capacities with Respect to a Radon Measure (1987) (23)
The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data (2016) (23)
Γ-convergence of free-discontinuity problems (2019) (23)
QUASISTATIC EVOLUTION FOR CAM-CLAY PLASTICITY: EXAMPLES OF SPATIALLY HOMOGENEOUS SOLUTIONS (2009) (21)
Capacity Theory for Monotone Operators (1995) (20)
Correctors for the homogenization of monotone operators (1990) (20)
Quasistatic Crack Growth in Elasto-Plastic Materials: The Two-Dimensional Case (2010) (20)
Relaxed shape optimization: the case of nonnegative data for the Dirichlet problem (1990) (20)
Variational inequalities for the biharmonic operator with variable obstacles (1988) (19)
Quasistatic evolution for Cam-Clay plasticity: The spatially homogeneous case (2010) (19)
Homogenization of fiber reinforced brittle materials: the intermediate case (2010) (19)
Quasistatic Evolution Problems for Pressure-sensitive Plastic Materials (2007) (19)
Integral representation for a class of $C^1$-convex functionals (1992) (18)
Limits of minimum problems for general integral functionals with unilateral obstacles (1983) (18)
Local calibrations for minimizers of the Mumford–Shah functional with rectilinear discontinuity sets (2000) (18)
On a class of optimum problems in structural design (1988) (17)
Existence and uniqueness of dynamic evolutions for a peeling test in dimension one (2016) (17)
The capacity method for asymptotic Dirichlet problems (1997) (17)
Approximation of relaxed Dirichlet problems by boundary value problems in perforated domains (1993) (16)
Homogenization of Fiber Reinforced Brittle Materials: The Extremal Cases (2009) (16)
Derivation of a Linearised Elasticity Model from Singularly Perturbed Multiwell Energy Functionals (2018) (16)
Special functions of bounded deformation (1995) (15)
Quasi-static crack growth in hydraulic fracture (2014) (15)
A VARIATIONAL MODEL FOR QUASISTATIC CRACK GROWTH IN NONLINEAR ELASTICITY: SOME QUALITATIVE PROPERTIES OF THE SOLUTIONS (2008) (14)
Asymptotic behaviour of nonlinear Dirichlet problems in perforated domains (1998) (13)
Nonlocal character of the reduced theory of thin films with higher order perturbations (2010) (13)
Some properties of the solutions of obstacle problems with measure data (2000) (13)
Science Case for the new High-Intensity Muon Beams HIMB at PSI (2021) (13)
Dirichlet problem for demi-coercive functionals (1986) (12)
Attainment results for nematic elastomers (2013) (12)
Linearized elasticity as gamma-limit of finite elasticity (2002) (12)
Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation (2017) (11)
A capacitary method for the asymptotic analysis of dirichlet problems for monotone operators (1997) (11)
Convergence of unilateral problems for monotone operators (1989) (11)
Γ-Limit of Periodic Obstacles (2001) (10)
Uniqueness of solutions to Hamilton-Jacobi equations arising in the Calculus of Variations (2000) (10)
On the Cauchy problem for the wave equation on time-dependent domains (2019) (10)
Journal of Convex Analysis (2012) (10)
An approach to the thin obstacle problem for variational functionals depending on vector (1989) (10)
Second order asymptotic development for the anisotropic Cahn–Hilliard functional (2014) (10)
An existence and uniqueness result for the motion of self-propelled micro-swimmers (2010) (10)
Crack growth with non-interpenetration:A simplified proof for the pure Neumann problem (2011) (10)
G-convergence of Elliptic Operators (1993) (9)
The Wiener Modulus of a Radial Measure (1985) (9)
Quasi-static evolution in brittle fracture: the case of bounded solutions (2004) (9)
Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length (2015) (8)
One-dimensional swimmers in viscous fluids: dynamics, controllability, and existence of optimal controls (2013) (8)
Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics (2005) (7)
Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition (2019) (7)
Limits of variational problems for Dirichlet forms in varying domains (1998) (7)
A capacity method for the study of Dirichlet problems for elliptic systems in varying domains (1996) (6)
Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals (2016) (6)
On a notion of unilateral slope for the Mumford-Shah functional (2004) (6)
New results on Γ-limits of integral functionals (2014) (6)
Gamma-convergence and H-convergence of linear elliptic operators (2013) (6)
Transmission conditions obtained by homogenisation (2018) (6)
Wiener's Criterion and $\gamma$ - Convergence (1985) (5)
Stochastic Homogenisation of Free-Discontinuity Problems (2019) (5)
A global method for deterministic and stochastic homogenisation in BV (2021) (5)
Variational problems in materials science (2006) (5)
Integral Representation of Γ-limits (1993) (5)
A Lipschitz selection from the set of minimizers of a nonconvex functional of the gradient (1999) (4)
A characterization ofC1-convex sets in Sobolev spaces (1992) (4)
Dirichlet problems for demicoercive functionals (1986) (4)
The Calibration Method for Free Discontinuity Problems (2000) (4)
Some properties of a class of nonlinear variational $m$-capacities (1988) (4)
$\Gamma$-Convergence of Free-discontinuity Problems (2017) (4)
Variational Problems in Material Science (2006) (4)
A monotonicity approach to nonlinear Dirichlet problems in perforated domains (2000) (4)
ON THE RELAXED FORMULATION OF SOME SHAPE OPTIMIZATION PROBLEMS (2010) (4)
A minimization approach to the wave equation on time-dependent domains (2018) (4)
Elastodynamic Griffith fracture on prescribed crack paths with kinks (2019) (4)
On the jerky crack growth in elastoplastic materials (2020) (4)
A lower semicontinuity result for a free discontinuity functional with a boundary term (2017) (3)
A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity (2020) (3)
Variational problems in fracture mechanics (2006) (3)
A model for the quasistatic growth of cracks with fractional dimension (2016) (3)
Γ-Convergence and Homogenization (2006) (3)
Variational Methods for Discontinuous Structures : International Workshop at Villa Erba (Cernobbio), Italy, July 2001 (2002) (3)
Weak convergence of measures on spaces of semicontinuous functions. (1985) (3)
Composite Media and Homogenization Theory: An International Centre for Theoretical Physics Workshop Trieste, Italy, January 1990 (1991) (3)
Composite Media & Homogenization Theory: Proceedings of the Second Workshop (1995) (3)
GRADIENT BOUNDS FOR MINIMIZERS OF FREE DISCONTINUITY PROBLEMS RELATED TO COHESIVE ZONE MODELS IN FRACTURE MECHANICS (2005) (2)
Ennio De Giorgi and Γ-convergence (2011) (2)
Proceedings of the Second Workshop on Composite Media & Homogenization Theory : International Centre for Theoretical Physics, Trieste, Italy, September 20-October 1, 1993 (1995) (2)
Derivation of a Linearised Elasticity Model from Singularly Perturbed Multiwell Energy Functionals (2018) (2)
The Topology of Γ-convergence (1993) (2)
HOMOGENIZATION OF FIBER REINFORCED MICROSTRUCTURES: THE EXTREMAL CASES (2008) (2)
Limits of Obstacle Problems for the Area Functional (1989) (2)
Evans-Vasilesco theorem in Dirichlet spaces (1999) (2)
Limits of Dirichlet problems in perforated domains: a new formulation (1994) (1)
Continuity of some non-local functionals with respect to a convergence of the underlying measures (2022) (1)
Integral representation of some convex local functionals. (1987) (1)
Convergence of unilateral convex sets (1986) (1)
Γ-convergence and K-convergence (1993) (1)
Linearisation of multiwell energies (2017) (1)
On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials (2022) (1)
Ennio De Giorgi and $\mathbf\Gamma$-convergence (2011) (1)
Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case (2016) (1)
Decomposition results for functions with bounded variation (2008) (1)
CRACK GROWTH IN FINITE ELASTICITY (2004) (1)
Quasistatic Limit of a Dynamic Viscoelastic Model with Memory (2021) (1)
Compactness for a class of integral functionals with interacting local and non-local terms (2022) (1)
The Topology of \( \bar{\Gamma } \)-convergence (1993) (1)
CAPACITY THEORY FOR NON-SYMMETRIC ELLIPTIC OPERATORS (2010) (1)
Some singular perturbation problems in the calculus of variations. (1985) (1)
Nemytskii operator on generalized bounded variation space (2014) (1)
Solutions of Neumann problems in domains with cracks and applications to fracture mechanics (2001) (1)
Γ-convergence in Metric Spaces (1993) (1)
Minimum Problems for Integral Functionals (1993) (0)
Convergence of unilateral convex sets. Optimization and related fields (Erice, 1984) (1986) (0)
A P ] 9 M ay 2 00 3 Higher Order Quasiconvexity Reduces to Quasiconvexity (2008) (0)
Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks (2021) (0)
Second order asymptotic development for the anisotropic Cahn–Hilliard functional (2015) (0)
Some results in the variational theory of crack growth (2009) (0)
STOPPING TIMES AND T-CONVERGENCE (2010) (0)
Some remarks on the convergence of solutions to elliptic equations under weak hypotheses on the data (2022) (0)
Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces (2014) (0)
Local Functionals and the Fundamental Estimate (1993) (0)
Visco-energetic solutions for a model of crack growth in brittle materials (2021) (0)
Correction to: Derivation of a Linearised Elasticity Model from Singularly Perturbed Multiwell Energy Functionals (2018) (0)
Increasing Set Functions (1993) (0)
Quadratic Forms and Linear Operators (1993) (0)
Analysis and Numerics for Rate-Independent Processes (2007) (0)
A new space of generalised functions with bounded variation motivated by fracture mechanics (2022) (0)
The liquid xenon detector for the MEG II experiment to detect 52.8 MeV γ with large area VUV-sensitive MPPCs (2022) (0)
Convergence of Minima and of Minimizers (1993) (0)
A P ] 2 5 Ju l 2 00 2 Autonomous Integral Functionals with Discontinuous Nonconvex Integrands : Lipschitz Regularity of Minimizers , DuBois-Reymond Necessary Conditions , and Hamilton-Jacobi Equations (2008) (0)
Translation Invariant Functionals (1993) (0)
Beam monitoring detectors for High Intensity Muon Beams (2022) (0)
Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case (2022) (0)
Lower Semicontinuous Increasing Functionals (1993) (0)
A global method for deterministic and stochastic homogenisation in BV (2022) (0)
Avanzati ( SISSA ) Proposal Title : Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture Proposal Acronym : QuaDynEvoPro Proposal Duration : 60 Months Summary (2011) (0)
Γ-Convergence in Topological Vector Spaces (1993) (0)
Mini-Workshop: Mathematical Models, Analysis, and Numerical Methods for Dynamic Fracture (2011) (0)
Comparison with Pointwise Convergence (1993) (0)
Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length (2014) (0)
A Kellogg property for $µ$-capacities (1988) (0)
Capacity and Dirichlet problems in varying domains (1996) (0)
Booklet of titles and abstracts New Trends on Calculus of Variations and PDEs Firenze – Montecatini (2017) (0)
The Direct Method in the Calculus of Variations (1993) (0)
$$ \bar{\Gamma } $$-convergence of Increasing Functionals (1993) (0)
Some Properties of Γ-limits (1993) (0)
Gamma-limit of periodic obstacles (2001) (0)
Quasistatic evolution for Cam-Clay plasticity: properties of the viscosity solution (2011) (0)
Some Examples in Homogenization (1993) (0)
Quasistatic Evolution in Perfect Plasticity as Limit of Dynamic Processes (2014) (0)
Convergence of Resolvents and G-convergence (1993) (0)
Sequential Characterization of Γ-limits (1993) (0)
The Fundamental Estimate (1993) (0)
un 2 00 0 The Calibration Method for Free Discontinuity Problems (2000) (0)
Preface: Rate-independent evolutions (2012) (0)
Correction to: Derivation of a Linearised Elasticity Model from Singularly Perturbed Multiwell Energy Functionals (2018) (0)

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