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Special Issue: PDEs and Calculus of Variations–Dedicated to Giuseppe Mingione, on the occasion of his 50th birthday

Guest Editors

Prof. Giampiero Palatucci
Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze, 53/A, 43124, Parma (PR), Italy
Email: giampiero.palatucci@unipr.it


Prof. Paolo Baroni
Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze, 53/A, 43124, Parma (PR), Italy
Email: paolo.baroni@unipr.it

Published Papers(22)

Research article
A limiting case in partial regularity for quasiconvex functionals
Mirco Piccinini
2024, Volume 6, Issue 1: 1-27. doi: 10.3934/mine.2024001
Abstract HTML PDF Viewed (1553)
Research article
A volume constraint problem for the nonlocal doubly nonlinear parabolic equation
Masashi Misawa,  Kenta Nakamura,  Yoshihiko Yamaura
2023, Volume 5, Issue 6: 1-26. doi: 10.3934/mine.2023098
Abstract HTML PDF Cited (1) Viewed (2071)
Research article
Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter
Paolo Maria Mariano,  Domenico Mucci
2023, Volume 5, Issue 6: 1-21. doi: 10.3934/mine.2023092
Abstract HTML PDF Cited (1) Viewed (2417)
Research article
Partial regularity for steady double phase fluids
Giovanni Scilla,  Bianca Stroffolini
2023, Volume 5, Issue 5: 1-47. doi: 10.3934/mine.2023088
Abstract HTML PDF Cited (2) Viewed (1518)
Research article
A mixed operator approach to peridynamics
Federico Cluni,  Vittorio Gusella,  Dimitri Mugnai,  Edoardo Proietti Lippi,  Patrizia Pucci
2023, Volume 5, Issue 5: 1-22. doi: 10.3934/mine.2023082
Abstract HTML PDF Cited (4) Viewed (1958)
Research article
Local boundedness for $ p $-Laplacian with degenerate coefficients
Peter Bella,  Mathias Schäffner
2023, Volume 5, Issue 5: 1-20. doi: 10.3934/mine.2023081
Abstract HTML PDF Viewed (1636)
Research article
The infinity-Laplacian in smooth convex domains and in a square
Karl K. Brustad,  Erik Lindgren,  Peter Lindqvist
2023, Volume 5, Issue 4: 1-16. doi: 10.3934/mine.2023080
Abstract HTML PDF Cited (3) Viewed (1588)
Research article
Approximation of elliptic and parabolic equations with Dirichlet boundary conditions
Youchan Kim,  Seungjin Ryu,  Pilsoo Shin
2023, Volume 5, Issue 4: 1-43. doi: 10.3934/mine.2023079
Abstract HTML PDF Viewed (1726)
Research article
Polyconvex functionals and maximum principle
Menita Carozza,  Luca Esposito,  Raffaella Giova,  Francesco Leonetti
2023, Volume 5, Issue 4: 1-10. doi: 10.3934/mine.2023077
Abstract HTML PDF Cited (1) Viewed (1974)
Research article
Lewy-Stampacchia inequality for noncoercive parabolic obstacle problems
Fernando Farroni,  Gioconda Moscariello,  Gabriella Zecca
2023, Volume 5, Issue 4: 1-23. doi: 10.3934/mine.2023071
Abstract HTML PDF Cited (1) Viewed (2343)
Research article
Global existence for reaction-diffusion evolution equations driven by the $ {\text{p}} $-Laplacian on manifolds
Gabriele Grillo,  Giulia Meglioli,  Fabio Punzo
2023, Volume 5, Issue 3: 1-38. doi: 10.3934/mine.2023070
Abstract HTML PDF Cited (1) Viewed (1952)
Research article
Regularizing effect in some Mingione’s double phase problems with very singular data
Lucio Boccardo,  Giuseppa Rita Cirmi
2023, Volume 5, Issue 3: 1-15. doi: 10.3934/mine.2023069
Abstract HTML PDF Cited (1) Viewed (1756)
Research article
Uniqueness of entire solutions to quasilinear equations of $ p $-Laplace type
Nguyen Cong Phuc,  Igor E. Verbitsky
2023, Volume 5, Issue 3: 1-33. doi: 10.3934/mine.2023068
Abstract HTML PDF Cited (1) Viewed (1892)
Research article
Games associated with products of eigenvalues of the Hessian
Pablo Blanc,  Fernando Charro,  Juan J. Manfredi,  Julio D. Rossi
2023, Volume 5, Issue 3: 1-26. doi: 10.3934/mine.2023066
Abstract HTML PDF Cited (1) Viewed (1844)
Research article
Local boundedness of weak solutions to elliptic equations with $ p, q- $growth
Giovanni Cupini,  Paolo Marcellini,  Elvira Mascolo
2023, Volume 5, Issue 3: 1-28. doi: 10.3934/mine.2023065
Abstract HTML PDF Cited (21) Viewed (2614)
Research article
Potential estimates for fully nonlinear elliptic equations with bounded ingredients
Edgard A. Pimentel,  Miguel Walker
2023, Volume 5, Issue 3: 1-16. doi: 10.3934/mine.2023063
Abstract HTML PDF Cited (1) Viewed (1813)
Research article
Local Calderón-Zygmund estimates for parabolic equations in weighted Lebesgue spaces
Mikyoung Lee,  Jihoon Ok
2023, Volume 5, Issue 3: 1-20. doi: 10.3934/mine.2023062
Abstract HTML PDF Viewed (2387)
Research article
Universal potential estimates for $ 1 < p\leq 2-\frac{1}{n} $
Quoc-Hung Nguyen,  Nguyen Cong Phuc
2023, Volume 5, Issue 3: 1-24. doi: 10.3934/mine.2023057
Abstract HTML PDF Cited (2) Viewed (1731)
Research article
Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space
Patrizia Di Gironimo,  Salvatore Leonardi,  Francesco Leonetti,  Marta Macrì,  Pier Vincenzo Petricca
2023, Volume 5, Issue 3: 1-23. doi: 10.3934/mine.2023055
Abstract HTML PDF Cited (2) Viewed (1894)
Research article
Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density
Márcio Batista,  Giovanni Molica Bisci,  Henrique de Lima
2023, Volume 5, Issue 3: 1-18. doi: 10.3934/mine.2023054
Abstract HTML PDF Cited (2) Viewed (1860)
Research article
Bloch estimates in non-doubling generalized Orlicz spaces
Petteri Harjulehto,  Peter Hästö,  Jonne Juusti
2023, Volume 5, Issue 3: 1-21. doi: 10.3934/mine.2023052
Abstract HTML PDF Cited (2) Viewed (2011)
Research article
On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients
Prashanta Garain,  Kaj Nyström
2023, Volume 5, Issue 2: 1-37. doi: 10.3934/mine.2023043
Abstract HTML PDF Viewed (2405)
Mathematics in Engineering
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