Nicola Fusco
#9,031
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Italian mathematician
Nicola Fusco's AcademicInfluence.com Rankings
Nicola Fuscomathematics Degrees
Mathematics
#326
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#692
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Functional Analysis
#7
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#12
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Measure Theory
#552
World Rank
#771
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Mathematics
Nicola Fusco's Degrees
- PhD Mathematics University of Naples Federico II
Why Is Nicola Fusco Influential?
(Suggest an Edit or Addition)According to Wikipedia, Nicola Fusco is an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equations, and the theory of symmetrization. He is currently professor at the Università di Napoli "Federico II". Fusco also taught and conducted research at the Australian National University at Canberra, the Carnegie Mellon University at Pittsburgh and at the University of Florence.
Nicola Fusco'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
- Functions of Bounded Variation and Free Discontinuity Problems (2000) (4427)
- The sharp quantitative isoperimetric inequality (2008) (355)
- Semicontinuity problems in the calculus of variations (1984) (312)
- Regularity for Minimizers of Non-quadratic Functionals: The Case 1 (1989) (212)
- Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies (2014) (174)
- Minimality via Second Variation for a Nonlocal Isoperimetric Problem (2012) (155)
- Some remarks on the regularity of minima of anisotropic integrals (1993) (148)
- A regularity theorem for minimizers of quasiconvex integrals (1987) (146)
- Partial Regularity under Anisotropic (p,q) Growth Conditions (1994) (137)
- The sharp Sobolev inequality in quantitative form (2009) (126)
- Partial regularity of minimizers of quasiconvex integrals with subquadratic growth (1998) (118)
- Sobolev imbedding theorems in borderline cases (1996) (102)
- On the isoperimetric deficit in Gauss space (2011) (101)
- Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2009) (100)
- Functions of Bounded Variation¶and Rearrangements (2002) (93)
- C1, α Partial regularity of functions minimising quasiconvex integrals (1985) (90)
- Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions (1990) (88)
- The perimeter inequality under Steiner symmetrization: Cases of equality (2005) (85)
- Regularity results for anisotropic image segmentation models (1997) (81)
- On the homogenization of quasilinear divergence structure operators (1986) (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)
- Partial regularity for minimisers of certain functionals having nonquadratic growth (1989) (73)
- Partial regularity of free discontinuity sets, II (1997) (68)
- A quantitative isoperimetric inequality for fractional perimeters (2010) (65)
- Steiner symmetric extremals in Pólya–Szegö-type inequalities (2006) (63)
- Local boundedness of minimizers in a limit case (1990) (62)
- A transmission problem in the calculus of variations (1994) (62)
- Equilibrium Configurations of Epitaxially Strained Elastic Films: Second Order Minimality Conditions and Qualitative Properties of Solutions (2012) (61)
- A quantitative version of the isoperimetric inequality : the anisotropic case (2005) (59)
- The quantitative isoperimetric inequality and related topics (2015) (56)
- A direct proof for lower semicontinuity of polyconvex functionals (1995) (55)
- Hölder Continuity of Local Minimizers (1999) (54)
- Integrability for the Jacobian of orientation preserving mappings (1993) (51)
- The sharp quantitative Sobolev inequality for functions of bounded variation (2007) (50)
- On L 1 -Lower Semicontinuity in BV (2005) (50)
- On the Euler-Lagrange equation of a functional by Pólya and Szegö (2016) (50)
- Gradient regularity for minimizers under general growth conditions (1999) (50)
- Calculus of Variations and Nonlinear Partial Differential Equations (2007) (46)
- A strong form of the quantitative isoperimetric inequality (2011) (46)
- Stability of the Steiner symmetrization of convex sets (2013) (43)
- A quantitative Pólya-Szegö principle (2008) (42)
- Partial regularity in problems motivated by nonlinear elasticity (1991) (40)
- MATERIAL VOIDS IN ELASTIC SOLIDS WITH ANISOTROPIC SURFACE ENERGIES (2011) (40)
- Motion of Elastic Thin Films by Anisotropic Surface Diffusion with Curvature Regularization (2012) (36)
- The limit of W1,1 homeomorphisms with finite distortion (2008) (36)
- A Remark on a Free Interface Problem with Volume Constraint (2011) (36)
- Minimal rearrangements, strict convexity and critical points (2006) (35)
- Partial regularity and everywhere continuity for a model problem from non-linear elasticity (1994) (34)
- A quantitative isoperimetric inequality on the sphere (2017) (33)
- Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford–Shah functional (2003) (32)
- Partial regularity of local minimizers of quasiconvex integrals with sub-quadratic growth (2003) (29)
- A chain rule formula in BV and application to lower semicontinuity (2007) (26)
- Local regularity for minimizers of non convex integrals (1988) (26)
- On the isoperimetric problem with respect to a mixed Euclidean–Gaussian density (2011) (24)
- EXISTENCE OF MINIMIZERS FOR SOME NON CONVEX ONE-DIMENSIONAL INTEGRALS * (1998) (24)
- An Overview of the Mumford-Shah Problem (2003) (23)
- A relaxation result in BV for integral functionals with discontinuous integrands (2007) (23)
- The classical isoperimetric theorem (2008) (23)
- Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization (2014) (22)
- Stability of Pólya–Szegő inequality for log-concave functions (2014) (21)
- Relaxation and overlap-probability function in the spherical and mean-spherical models. (2002) (20)
- A note on the convex hull of sets of finite perimeter in the plane (2008) (20)
- Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands (2008) (19)
- Continuity Properties of Minimizers of Integral Functionals in a Limit Case (1996) (19)
- A remark on Serrin’s Theorem (2006) (18)
- Partial regularity results for vector valued functions which minimize certain functionals having non quadratic growth under smooth side conditions. (1988) (18)
- On the approximation of SBV functions (2017) (18)
- On the total variation of the Jacobian (2004) (18)
- BMO-type seminorms and Sobolev functions (2018) (17)
- A formula for the total variation of SBV functions (2016) (17)
- On a Bonnesen type inequality involving the spherical deviation (2012) (17)
- On the solvability of the equation div $u = f$ in $L^{1}$ and in $C^{0}$ (2003) (16)
- On the regularity of critical and minimal sets of a free interface problem (2013) (16)
- A sharp quantitative isoperimetric inequality in higher codimension (2015) (16)
- Nonlinear stability results for the modified Mullins–Sekerka and the surface diffusion flow (2016) (15)
- A lower semi-continuity result for polyconvex functionals in SBV (2006) (15)
- L2-lower semicontinuity of functionals of quadratic type (1981) (14)
- Higher regularity of solutions of free discontinuity problems (1999) (13)
- Regularity of Minimizers for a Class of Anisotropic Free Discontinuity Problems (2001) (12)
- Regularity of minimizing sequences for functionals of the calculus of variations via the Ekeland principle (1999) (12)
- A model for dislocations in epitaxially strained elastic films (2016) (12)
- A remark on the L1-lower semicontinuity for integral functionals in BV (2003) (12)
- The Stability of the Isoperimetric Inequality (2017) (11)
- Sharp stability for the Riesz potential (2019) (10)
- Topological degree, Jacobian determinants and relaxation (2005) (10)
- Minimality of balls in the small volume regime for a general Gamow-type functional (2020) (10)
- A remark on an integral characterization of the dual of BV (2017) (9)
- Regularity results for equilibria in a variational model for fracture (1997) (9)
- A quantitative form of Faber–Krahn inequality (2017) (9)
- LOWER SEMICONTINUITY RESULTS FOR FREE DISCONTINUITY ENERGIES (2010) (8)
- Higher Integrability from Reverse Jensen Inequalities with Different Supports (1989) (8)
- A variational characterisation of the second eigenvalue of the p ‐Laplacian on quasi open sets (2018) (7)
- The Surface Diffusion Flow with Elasticity in the Plane (2017) (7)
- Regularity properties of equilibrium configurations of epitaxially strained elastic films (2012) (7)
- On a conjecture by Auerbach (2011) (7)
- The Surface Diffusion Flow with Elasticity in Three Dimensions (2018) (7)
- The Γ-limit of traveling waves in the FitzHugh-Nagumo system (2019) (7)
- Sharp upper bounds for the density of some invariant measures (2009) (7)
- VMO solutions of the N-Laplacian with measure data (1997) (7)
- Weak lower semicontinuity for polyconvex integrals in the limit case (2013) (6)
- A formula for the anisotropic total variation of SBV functions (2020) (6)
- Gluten Induces Subtle Histological Changes in Duodenal Mucosa of Patients with Non-Coeliac Gluten Sensitivity: A Multicentre Study (2022) (6)
- Dirichlet integrals and Steiner asymmetry (2006) (6)
- A note on relaxation with constraints on the determinant (2019) (5)
- Stationary Sets and Asymptotic Behavior of the Mean Curvature Flow with Forcing in the Plane (2020) (5)
- Remarks on the Relaxation of Integrals of the Calculus of Variations (1983) (4)
- A sharp stability result for the Gauss mean value formula (2020) (4)
- VMO solutions of the n-laplacian (1997) (4)
- Geometrical Aspects of Symmetrization (2008) (3)
- Vector-Valued Partial Differential Equations and Applications (2017) (3)
- A Mathematical Tribute to ENNIO DE GIORGI (2016) (2)
- NON-TRIVIAL BEHAVIOR OF THE LINEAR RESPONSE FUNCTION IN PHASE ORDERING KINETICS (2003) (2)
- Regularity of minimizers for a class of membrane energies (1997) (2)
- The fluctuation dissipation relation in phase ordering kinetics (2004) (2)
- Symmetrization and Functionals Defined on BV (2002) (1)
- Nonlinear Differential Equations and Applications (2015) (1)
- Global and local energy minimizers for a nanowire growth model (2022) (1)
- Motion of Elastic Thin Films by Anisotropic Surface Diffusion with Curvature Regularization (2012) (1)
- Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains (2021) (1)
- The Surface Diffusion Flow with Elasticity in Three Dimensions (2020) (1)
- A NOTE ON SETS OF FINITE PERIMETER IN THE PLANE (2007) (1)
- Stability for the Surface Diffusion Flow (2023) (1)
- Calculus of Variations — Equilibrium configurations of epitaxially strained thin films (2010) (0)
- On the Euler-Lagrange equation of a functional by Pólya and Szegö (2016) (0)
- Carlo Sbordone, a Neapolitan mathematician (2018) (0)
- Stationary Sets and Asymptotic Behavior of the Mean Curvature Flow with Forcing in the Plane (2022) (0)
- Free Discontinuity Problems (2016) (0)
- STABILTY OF THE DEVIATION (2009) (0)
- On the isoperimetric profile for a mixed Euclidean–Log-convex measure (2017) (0)
- Minimality via Second Variation for a Nonlocal Isoperimetric Problem (2013) (0)
- The Surface Diffusion Flow with Elasticity in the Plane (2018) (0)
- Partial regularity for solutions of variational problems (1986) (0)
- Mathematical Analysis (2022) (0)
- A strong form of the quantitative isoperimetric inequality (2013) (0)
- Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies (2014) (0)
- EXISTENCE RESULTS FOR PROBLEMS IN FRACTURE MECHANICS (2008) (0)
- A quantitative form of Faber–Krahn inequality (2017) (0)
- Equilibrium Configurations of Epitaxially Strained Elastic Films: Second Order Minimality Conditions and Qualitative Properties of Solutions (2011) (0)
- Equilibrium configurations of epitaxially strained thin films (2010) (0)
- WITHDRAWN: Carlo Sbordone, a Neapolitan mathematician (2018) (0)
- On the H-systems in higher dimension (2018) (0)
- Preface (2014) (0)
- Semicontinuity in $L^{\infty}$ for polyconvex integrals (1982) (0)
- Regularity of capillarity droplets with obstacle (2022) (0)
- The $\Gamma$-limit of traveling waves in the FitzHugh-Nagumo system (2018) (0)
- Minimum problems for nonconvex integrals (1984) (0)
- Some weighted isoperimetric inequalities in quantitative form (2022) (0)
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