# Irene Fonseca

#20,840

Most Influential Person Now

American mathematician

## Irene Fonseca's AcademicInfluence.com Rankings

Irene Fonsecamathematics Degrees

Mathematics

#995

World Rank

#1718

Historical Rank

#432

USA Rank

Applied Mathematics

#58

World Rank

#69

Historical Rank

#32

USA Rank

Measure Theory

#1191

World Rank

#1517

Historical Rank

#431

USA Rank

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Mathematics

## Irene Fonseca's Degrees

- PhD Mathematics Carnegie Mellon University
- Masters Mathematics Carnegie Mellon University
- Bachelors Mathematics University of Coimbra

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## Why Is Irene Fonseca Influential?

(Suggest an Edit or Addition)According to Wikipedia, Irene Maria Quintanilha Coelho da Fonseca is a Portuguese-American applied mathematician, the Kavčić-Moura University Professor of Mathematics at Carnegie Mellon University, where she directs the Center for Nonlinear Analysis.

## Irene Fonseca's Published Works

### Published Works

- Modern Methods in the Calculus of Variations: L^p Spaces (2007) (530)
- Degree Theory in Analysis and Applications (1995) (299)
- A -Quasiconvexity. lower semicontinuity, and young measures (1999) (284)
- Quasi-convex integrands and lower semicontinuity in L 1 (1992) (194)
- A uniqueness proof for the Wulff Theorem (1991) (194)
- Relaxation of quasiconvex functional in BV(Ω, ℝp) for integrands f(x, u,∇;u) (1993) (191)
- Analysis of Concentration and Oscillation Effects Generated by Gradients (1998) (187)
- The gradient theory of phase transitions for systems with two potential wells (1989) (180)
- A Global Method for Relaxation (1998) (149)
- 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films (2000) (141)
- The Wulff theorem revisited (1991) (138)
- Relaxation of multiple integrals below the growth exponent (1997) (95)
- A-QUASICONVEXITY: RELAXATION AND HOMOGENIZATION (2000) (95)
- Scalar Minimizers with Fractal Singular Sets (2004) (92)
- Anisotropic singular perturbations—the vectorial case (1994) (91)
- Variational methods for elastic crystals (1987) (91)
- A Γ‐convergence result for the two‐gradient theory of phase transitions (2002) (90)
- A Global Method for Relaxation in W1,p and in SBVp (2002) (82)
- Regularity results for anisotropic image segmentation models (1997) (81)
- An existence result for a nonconvex variational problem via regularity (2002) (77)
- Equilibrium Configurations of Epitaxially Strained Crystalline Films: Existence and Regularity Results (2007) (74)
- Bulk and Interfacial Energy Densities for Structured Deformations of Continua (1997) (68)
- Structured Deformations as Energy Minimizers in Models of Fracture and Hysteresis (1999) (62)
- Equilibrium configurations of defective crystals (1992) (57)
- Second Order Singular Perturbation Models for Phase Transitions (2000) (56)
- Brittle Thin Films (2001) (54)
- Lower semicontinuity of surface energies (1992) (53)
- A Higher Order Model for Image Restoration: The One-Dimensional Case (2007) (52)
- Relaxation of multiple integrals in subcritical Sobolev spaces (1997) (52)
- A RELAXATION THEOREM IN THE SPACE OF FUNCTIONS OF BOUNDED DEFORMATION (2000) (50)
- Local invertibility of Sobolev functions (1995) (48)
- Relaxation inBV versus quasiconvexification inW1,p; a model for the interaction between fracture and damage (1995) (48)
- 3D-2D asymptotic analysis of an optimal design problem for thin films (1998) (48)
- The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent (1998) (46)
- Surfactants in Foam Stability: A Phase-Field Model (2007) (45)
- On lower semicontinuity and relaxation (2001) (44)
- Relaxation of convex functionals: the gap problem (2003) (42)
- OSCILLATIONS AND CONCENTRATIONS GENERATED BY A-FREE MAPPINGS AND WEAK LOWER SEMICONTINUITY OF INTEGRAL FUNCTIONALS (2010) (42)
- MATERIAL VOIDS IN ELASTIC SOLIDS WITH ANISOTROPIC SURFACE ENERGIES (2011) (40)
- A-quasiconvexity: weak-star convergence and the gap (2004) (37)
- Relaxation of bulk and interfacial energies (1996) (36)
- Motion of Elastic Thin Films by Anisotropic Surface Diffusion with Curvature Regularization (2012) (36)
- Manifold constrained variational problems (1999) (35)
- A-B quasiconvexity and implicit partial differential equations (2002) (35)
- Bending Moment in Membrane Theory (2003) (34)
- Dynamics for Systems of Screw Dislocations (2014) (34)
- Multiple integrals under differential constraints: Two-scale convergence and homogenization (2010) (34)
- Relaxation of multiple integrals in the space BV(Ω, RP) (1992) (34)
- Phase transitions of elastic solid materials (1989) (33)
- Weak Continuity and Lower Semicontinuity Results for Determinants (2005) (33)
- Interfacial energy and the Maxwell rule (1989) (32)
- Some remarks on Lower semicontinuity (2000) (29)
- Equi-integrability results for 3D-2D dimension reduction problems (2002) (29)
- Higher-Order Quasiconvexity Reduces to Quasiconvexity (2003) (25)
- Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces (2014) (25)
- Energy Functionals Depending on Elastic Strain and Chemical Composition (2005) (25)
- On a Volume‐Constrained Variational Problem (1999) (25)
- Singular perturbation models in phase transitions for second-order materials (2011) (24)
- An Asymptotic Study¶of the Debonding of Thin Films (2002) (23)
- The limit behavior of a family of variational multiscale problems (2007) (23)
- Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization (2014) (22)
- Regularity in Time for Weak Solutions of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces (2015) (22)
- Relaxation of multiple integrals in Sobolev spaces below the growth exponent for the energy density (1995) (21)
- Multiscale Relaxation of Convex Functionals (2003) (21)
- On the inadequacy of the scaling of linear elasticity for 3D–2D asymptotics in a nonlinear setting (2001) (21)
- Existence and regularity for mixtures of micromagnetic materials (2006) (20)
- Energy functional depending on elastic strain and chemical composition (1994) (20)
- On the total variation of the Jacobian (2004) (18)
- Lower semicontinuity problems in Sobolev spaces with respect to a measure (1993) (18)
- Shapes of Epitaxially Grown Quantum Dots (2014) (15)
- A homogenization result in the gradient theory of phase transitions (2018) (15)
- On Hessian matrices in the space BH (2005) (15)
- Thin elastic films : The impact of higher order perturbations (2006) (15)
- Coupled singular perturbations for phase transitions (2005) (14)
- Nonlocal character of the reduced theory of thin films with higher order perturbations (2010) (13)
- -convergence of functionals with periodic integrands via 2-scale convergence (2005) (13)
- Relaxation of variational problems under trace constraints (2002) (12)
- Characterization of Generalized Young Measures Generated by -free Measures (2021) (12)
- A model for dislocations in epitaxially strained elastic films (2016) (12)
- A minimization problem involving variation of the domain (1992) (11)
- Adaptive Image Processing: First Order PDE Constraint Regularizers and a Bilevel Training Scheme (2019) (11)
- A note on Meyers' theorem in Wk,1 (2002) (10)
- Second order asymptotic development for the anisotropic Cahn–Hilliard functional (2014) (10)
- Dynamics and oscillatory microstructure in a model of displacive phase transformations (1994) (10)
- Topological degree, Jacobian determinants and relaxation (2005) (10)
- Regularity Results for an Optimal Design Problem with a Volume Constraint (2014) (10)
- Homogenization of integral energies under periodically oscillating differential constraints (2015) (10)
- Regularity results for equilibria in a variational model for fracture (1997) (9)
- The displacement problem for elastic crystals (1989) (8)
- $\Gamma$-convergence, minimizing movements and generalized mean curvature evolution (1995) (8)
- Exact reconstruction of damaged color images using a total variation model (2010) (8)
- A Young measure approach to a nonlinear membrane model involving the bending moment (2004) (8)
- On lower semicontinuity in BH and 2-quasiconvexification (2003) (8)
- Domain Formation in Membranes Near the Onset of Instability (2016) (7)
- Regularity results for an optimal design problem with quasiconvex bulk energies (2018) (7)
- Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals (2016) (6)
- Multiscale homogenization in Kirchhoff's nonlinear plate theory (2015) (6)
- A change of variables formula for mappings in BV (1997) (6)
- Reiterated Homogenization in BV via Multiscale Convergence (2012) (6)
- A few remarks on variational models for denoising (2014) (6)
- Erratum to: A homogenization result in the gradient theory of phase transitions (2020) (5)
- A note on two scale compactness for $p = 1$ (2015) (5)
- The Weighted Ambrosio-Tortorelli Approximation Scheme (2016) (5)
- Oscillations in a dynamical model of phase transitions (2001) (5)
- Remarks on the Determinant in Nonlinear Elasticity and Fracture Mechanics (2002) (4)
- On a class of invariant functionals (1992) (4)
- Relaxation in BV x L[infinity] of functionals depending on strain and composition (1993) (4)
- Bulk and contact energies: nucleation and relaxation (1999) (4)
- Periodic homogenization of integral energies under space-dependent differential constraints (2016) (4)
- Second-Order Structured Deformations in the Space of Functions of Bounded Hessian (2019) (3)
- Homogenization of Quasi-Crystalline Functionals via Two-Scale-Cut-and-Project Convergence (2020) (3)
- On the Motion of Curved Dislocations in Three Dimensions: Simplified Linearized Elasticity (2020) (3)
- Equilibria and dislocations in epitaxial growth (2017) (3)
- Erratum to “Thin elastic films: the impact of higher order perturbations” (2008) (3)
- A chromaticity-brightness model for color images denoising in a Meyer’s “u + v” framework (2016) (3)
- A Second order minimality condition for a free-boundary problem (2016) (3)
- Stability of Elastic Crystals (1987) (2)
- RELAXATION OF CONVEX FUNCTIONALS: THE GAP PROBLEM RELAXATION DE FONCTIONNELLES CONVEXES: LE PROBLÈME DU GAP (2003) (2)
- The mathematics of thin structures (2022) (2)
- Homogenization and phase separation with space dependent wells -- The subcritical case (2022) (2)
- Variational Techniques for Problems in Materials Science (1996) (2)
- Relaxation of p-Growth Integral Functionals Under Space-Dependent Differential Constraints (2017) (2)
- Regularity of minimizers for a class of membrane energies (1997) (2)
- Higher Order Variational Problems and Phase Transitions in Nonlinear Elasticity (2002) (1)
- Oscillations in one-dimensional elasticity with surface energy (1999) (1)
- Homogenization for A-quasiconvexity with variable coefficients (2016) (1)
- Motion of Elastic Thin Films by Anisotropic Surface Diffusion with Curvature Regularization (2012) (1)
- Anisotropic surface tensions for phase transitions in periodic media (2020) (1)
- Global and local energy minimizers for a nanowire growth model (2022) (1)
- Piecewise constant reconstruction of damaged color images (2017) (1)
- Bending moment and higher order membrane models-lecture IV (2008) (0)
- Variational Techniques for Problems in Materials Sciences (2005) (0)
- Regularity results for an optimal design problem with quasiconvex bulk energies (2018) (0)
- Γ-Convergence of an Ambrosio-Tortorelli approximation scheme for image segmentation (2022) (0)
- VARIATIONAL METHODS IN THE STUDY OF IMAGING , MICROMAGNETICS , AND THIN FILMS (2006) (0)
- On lower semicontinuity and relaxation (2001) (0)
- Non-Brittle and Brittle Thin Films — Lectures I, II (2008) (0)
- 95-Variational Techniques for Problems in Materials Sciences (2015) (0)
- Γ-Convergence and Applications to Phase Transitions (2021) (0)
- Surface evolution of elastically stressed films (2021) (0)
- Second-Order Structured Deformations in the Space of Functions of Bounded Hessian (2019) (0)
- The Weiss – Landau – Lifschitz model for one crystal briefly visited (2006) (0)
- 3D-2D asymptotic analysis for inhomogeneous thin films — lectures V, VI (2008) (0)
- A new variational method for crystals with defects (1995) (0)
- Second order asymptotic development for the anisotropic Cahn–Hilliard functional (2015) (0)
- Variational Methods for Crystal Surface Instability (2013) (0)
- A Young measure approach to a nonlinear membrane model — Lecture III (2008) (0)
- Domain Formation in Membranes Near the Onset of Instability (2016) (0)
- NOTE ON LUSIN ( N ) CONDITION AND THE DISTRIBUTIONAL DETERMINANT (2016) (0)
- REMARKS ON VARIATIONAL PROBLEMS FOR DEFECTIVE CRYSTALS (1991) (0)
- Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case (2023) (0)
- F Ur Mathematik in Den Naturwissenschaften Leipzig A-quasiconvexity, Lower Semicontinuity and Young Measures (1998) (0)
- Shapes of Epitaxially Grown Quantum Dots (2014) (0)
- Vector Field Models for Nematic Disclinations (2023) (0)
- Homogenization of integral energies under periodically oscillating differential constraints (2016) (0)
- Higher Order Variational Problems 2001 CNA SUMMER SCHOOL May 30–June 9, 2001 (2001) (0)
- Women's History Month (2013) (0)
- A second order minimality condition for water-waves functionals (2016) (0)
- MATERIALS INSTABILITIES AND IMAGE SEGMENTATION: NEW TRENDS IN PDES AND IN THE CALCULUS OF VARIATIONS (2000) (0)
- A P ] 9 M ay 2 00 3 Higher Order Quasiconvexity Reduces to Quasiconvexity (2008) (0)
- Variational Problems for Crystals with Defects (1993) (0)
- Variational methods in materials sciences (1994) (0)
- Variational Problems in Defective Crystals (1991) (0)
- Regularity and optimal design results for elastic membranes (1998) (0)
- Variational Problems in Defective Crystals (1991) (0)
- HOMOGENIZATION AND PHASE SEPARATION WITH MOVING WELLS-THE SUBCRITICAL CASE (2022) (0)
- Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces (2014) (0)

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