Paolo Marcellini | Academic Influence

Paolo Marcellini's AcademicInfluence.com Rankings

Paolo Marcellini

Mathematics

#1404

World Rank

#2320

Historical Rank

Measure Theory

#1127

World Rank

#1443

Historical Rank

mathematics Degrees

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Mathematics

Paolo Marcellini's Degrees

PhD Mathematics University of Florence

Why Is Paolo Marcellini Influential?

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According to Wikipedia, Paolo Marcellini is an Italian mathematician who deals with mathematical analysis. He was a full professor at the University of Florence, actually Professor Emeritus, who works on partial differential equations, calculus of variations and related mathematics. He was the Director of the Italian National Group GNAMPA of the Istituto Nazionale di Alta Matematica and Dean of the Faculty of Mathematical, Physical and Natural Sciences of the University of Florence.

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Paolo Marcellini'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

Regularity and existence of solutions of elliptic equations with p,q-growth conditions (1991) (661)
Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions (1989) (485)
Semicontinuity problems in the calculus of variations (1980) (376)
Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals (1985) (228)
Implicit partial differential equations (1999) (216)
Everywhere regularity for a class of elliptic systems without growth conditions (1996) (215)
On the definition and the lower semicontinuity of certain quasiconvex integrals (1986) (197)
Regularity for Elliptic Equations with General Growth Conditions (1993) (190)
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases (1997) (155)
Periodic solutions and homogenization of non linear variational problems (1978) (139)
Nonlinear elliptic systems with general growth (2006) (118)
Do ungulates exhibit a food density threshold? A field study of optimal foraging and movement patterns (1996) (109)
Parabolic Systems with p, q-Growth: A Variational Approach (2013) (94)
Lipschitz estimates for systems with ellipticity conditions at infinity (2016) (80)
An existence result for a nonconvex variational problem via regularity (2002) (77)
Existence of evolutionary variational solutions via the calculus of variations (2014) (76)
Regularity for some scalar variational problems under general growth conditions (1996) (76)
Sulla convergenza delle soluzioni di disequazioni variazionali (1976) (73)
Anisotropic equations in $L^1$ (1996) (73)
Parabolic equations with p, q-growth (2013) (66)
Regularity for scalar integrals without structure conditions (2018) (63)
Nonconvex Integrals of the Calculus of Variations (1989) (62)
Growth conditions and regularity for weak solutions to nonlinear elliptic pdes (2020) (57)
Methods of Nonconvex Analysis (1990) (56)
Regularity under sharp anisotropic general growth conditions (2008) (52)
Relaxation of multiple integrals in subcritical Sobolev spaces (1997) (52)
Lipschitz continuity for energy integrals with variable exponents (2016) (48)
Local boundedness of solutions to quasilinear elliptic systems (2012) (47)
Calculus of Variations and Nonlinear Partial Differential Equations (2007) (46)
Cauchy-Dirichlet problem for first order nonlinear systems. (Sur le problème de Cauchy-Dirichlet pour les systèmes d' équationsnon linéaires du premier ordre.) (1998) (45)
A variational approach to parabolic equations under general and p,q-growth conditions (2020) (45)
Local Boundedness of Minimizers with Limit Growth Conditions (2015) (44)
Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants (1990) (44)
Existence of minimizers for non-quasiconvex integrals (1995) (43)
Quasiconvex quadratic forms in two dimensions (1984) (42)
Regularity of minimizers under limit growth conditions (2017) (42)
Homogenization of non-uniformly elliptic operators† (1978) (37)
The Stored-Energy for Some Discontinuous Deformations in Nonlinear Elasticity (1989) (36)
A Time Dependent Variational Approach to Image Restoration (2015) (35)
Théorèmes d" existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi (1996) (34)
Existence and regularity for elliptic equations under $p,q$-growth (2014) (33)
Doubly Nonlinear Equations of Porous Medium Type (2018) (32)
Lipschitz-continuous local isometric immersions: rigid maps and origami (2008) (31)
A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the calculus of variations (1983) (31)
Bounds for the third membrane eigenvalue (1980) (30)
Origami and Partial Differential Equations (2012) (29)
A general approach to the existence of minimizers of one-dimensional non-coercive integrals of the calculus of variations (1991) (28)
Nonuniformly elliptic energy integrals with p,q-growth (2018) (26)
Elliptic versus Parabolic Regularization for the Equation of Prescribed Mean Curvature (1997) (25)
UNDER GENERAL AND p , q − GROWTH CONDITIONS (2020) (25)
On a Volume‐Constrained Variational Problem (1999) (25)
EXISTENCE OF MINIMIZERS FOR SOME NON CONVEX ONE-DIMENSIONAL INTEGRALS * (1998) (24)
Regularity under general and \begin{document}$ p,q- $\end{document} growth conditions (2020) (23)
Local boundedness of solutions to some anisotropic elliptic systems (2013) (22)
Sur le problème de Cauchy-Dirichlet pour les systèmes d'équations non linéaires du premier ordre (1996) (22)
An Extension of the Serrin's Lower Semicontinuity Theorem (2002) (20)
A-priori gradient bound for elliptic systems under either slow or fast growth conditions (2019) (18)
On the total variation of the Jacobian (2004) (18)
Parabolic equations and the bounded slope condition (2017) (16)
Nonlocal diffusion equations (2015) (16)
On some sharp conditions for lower semicontinuity in $L^1$ (2003) (16)
An explicit solution to a system of implicit differential equations (2008) (15)
An alternative approach to the Hölder continuity of solutions to some elliptic equations (2014) (14)
A variational approach to doubly nonlinear equations (2018) (12)
Weak lower semicontinuity for non coercive polyconvex integrals (2008) (11)
Topological degree, Jacobian determinants and relaxation (2005) (10)
partial differential equations and applications : Collected Papers in Honor of Carlo Pucci (2017) (10)
Lipschitz regularity for degenerate elliptic integrals with 𝑝, 𝑞-growth (2021) (10)
On the n-dimensional Dirichlet problem for isometric maps (2008) (10)
Local Lipschitz continuity of minimizers with mild assumptions on the $x$-dependence (2019) (10)
A mathematical framework for optimal foraging of herbivores (1995) (9)
Integral Convexity and Parabolic Systems (2020) (9)
Viscosity solutions, almost everywhere solutions and explicit formulas (2004) (9)
Asymptotic Growth for the Parabolic Equation of Prescribed Mean Curvature (1984) (9)
Boundary regularity for elliptic systems with p,q-growth (2021) (8)
Functions with orthogonal Hessian (2010) (7)
Local Lipschitz continuity for energy integrals with slow growth (2021) (7)
Attainment of minima and implicit partial differential equations (1999) (7)
Local Lipschitz continuity for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si7.svg"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:math>PDEs with explicit <mml:math xmlns:mml="http://www.w3.org/1998/ (2022) (7)
Implicit second order partial differential equations (1997) (6)
Anisotropic and p, q-nonlinear partial differential equations (2020) (6)
Weak lower semicontinuity for polyconvex integrals in the limit case (2013) (6)
Existence Theorems in Nonlinear Elasticity (1986) (5)
ON THE LOWER SEMICONTINUITY OF QUASICONVEX INTEGRALS (2014) (5)
Équations de type implicite avec contraintes (2000) (4)
General Growth Conditions and Regularity (1996) (4)
Semicontinuité pour des intégrandes polyconvexes sans continuitédes déterminants. (Semicontinuity for polyconvex integrands withoutcontinuity of determinants). (1990) (3)
Vector-Valued Partial Differential Equations and Applications (2017) (3)
Local boundedness of solutions to quasilinear elliptic systems (2011) (3)
On the solvability of implicit nonlinear systems in the vectorial case (2013) (2)
Parabolic Systems with p, q-Growth: A Variational Approach (2013) (2)
The degenerate two well problem for piecewise affine maps (2013) (2)
The two well problem for piecewise affine maps (2012) (2)
Parabolic Systems with p, q-Growth: (2013) (2)
Local boundedness of weak solutions to elliptic equations with $ p, q- $growth (2023) (2)
Regularity for nonlinear elliptic equations and systems (2020) (1)
The Complex Eikonal Equation (1999) (1)
Second Order Equations (1999) (1)
Alcuni problemi inversi nella letteratura matematica sovietica (1979) (1)
Some problems of existence, uniqueness and regularity in the calculus of variations (1996) (1)
Comparison with Viscosity Solutions (1999) (0)
Some Preliminary Results (1999) (0)
Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. (Théorèmes d"existence dans les cas scalaireet vectoriel pour les équations de Hamilton-Jacobi.) (1996) (0)
Appendix: Piecewise Approximations (1999) (0)
The Case of Potential Wells (1999) (0)
F Ur Mathematik in Den Naturwissenschaften Leipzig on a Volume Constrained Variational Problem on a Volume Constrained Variational Problem (1998) (0)
First Order Equations (1999) (0)
Existence Theorems for Systems (1999) (0)
Mathematical Analysis (2022) (0)
Weak lower semicontinuity for polyconvex integrals in the limit case (2013) (0)
Analisi Matematica II Testi di riferimento (2010) (0)
Lipschitz estimates for systems with ellipticity conditions at infinity (2015) (0)
A P ] 9 O ct 2 01 9 Apriori gradient bound for elliptic systems under either slow or fast growth conditions (2019) (0)
A-priori gradient bound for elliptic systems under either slow or fast growth conditions (2020) (0)
Partial Di ¤ erential Equations — A variational approach to doubly nonlinear equations (2018) (0)
Doubly Nonlinear Equations of Porous Medium Type (2018) (0)
The Singular Values Case (1999) (0)
An Application of the Calculus of Variations to the Study of Optimal Foraging (2017) (0)
The degenerate two well problem for piecewise affine maps (2012) (0)
Local Boundedness of Minimizers with Limit Growth Conditions (2015) (0)
The two well problem for piecewise a ¢ ne maps (2012) (0)

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