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Special Issue: Contemporary PDEs between theory and modeling—Dedicated to Sandro Salsa, on the occasion of his 70th birthday

Guest Editor

Prof. Gianmaria Verzini
Dipartimento di Matematica, Politecnico di Milano, p.zza Leonardo da Vinci 32, 20133 Milano, Italy
Email: gianmaria.verzini@polimi.it

Published Papers(22)

Editorial
Foreword to the special issue "Contemporary PDEs between theory and modeling"
Gianmaria Verzini
2021, Volume 3, Issue 1: i-iv. doi: 10.3934/mine.2021.i
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Research article
The shape of a free boundary driven by a line of fast diffusion
Luis A. Caffarelli,  Jean-Michel Roquejoffre
2021, Volume 3, Issue 1: 1-25. doi: 10.3934/mine.2021010
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Research article
Lipschitz continuity of minimizers in a problem with nonstandard growth
Claudia Lederman,  Noemi Wolanski
2021, Volume 3, Issue 1: 1-39. doi: 10.3934/mine.2021009
Abstract HTML PDF Cited (1) Viewed (4129)
Research article
Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group
Luca Capogna,  Giovanna Citti,  Nicola Garofalo
2021, Volume 3, Issue 1: 1-31. doi: 10.3934/mine.2021008
Abstract HTML PDF Cited (4) Viewed (3977)
Research article
Regularity results for a penalized boundary obstacle problem
Donatella Danielli,  Rohit Jain
2021, Volume 3, Issue 1: 1-23. doi: 10.3934/mine.2021007
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Research article
Improved bounds for reaction-diffusion propagation driven by a line of nonlocal diffusion
Anne-Charline Chalmin,  Jean-Michel Roquejoffre
2021, Volume 3, Issue 1: 1-16. doi: 10.3934/mine.2021006
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Research article
Liouville type theorems and regularity of solutions to degenerate or singular problems part II: odd solutions
Yannick Sire,  Susanna Terracini,  Stefano Vita
2021, Volume 3, Issue 1: 1-50. doi: 10.3934/mine.2021005
Abstract HTML PDF Cited (16) Viewed (4171)
Research article
On the logarithmic epiperimetric inequality for the obstacle problem
Luca Spolaor,  Bozhidar Velichkov
2021, Volume 3, Issue 1: 1-42. doi: 10.3934/mine.2021004
Abstract HTML PDF Cited (1) Viewed (3932)
Research article
Lipschitz stable determination of small conductivity inclusions in a semilinear equation from boundary data
Elena Beretta,  M. Cristina Cerutti,  Luca Ratti
2021, Volume 3, Issue 1: 1-10. doi: 10.3934/mine.2021003
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Research article
Regularity of all minimizers of a class of spectral partition problems
Hugo Tavares,  Alessandro Zilio
2021, Volume 3, Issue 1: 1-31. doi: 10.3934/mine.2021002
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Research article
Duality properties of metric Sobolev spaces and capacity
Luigi Ambrosio,  Giuseppe Savaré
2021, Volume 3, Issue 1: 1-31. doi: 10.3934/mine.2021001
Abstract HTML PDF Cited (1) Viewed (4746)
Research article
The weak maximum principle for degenerate elliptic equations: unbounded domains and systems
Italo Capuzzo Dolcetta
2020, Volume 2, Issue 4: 772-786. doi: 10.3934/mine.2020036
Abstract HTML PDF Cited (1) Viewed (3473)
Research article
Fundamental solutions for Kolmogorov-Fokker-Planck operators with time-depending measurable coefficients
Marco Bramanti,  Sergio Polidoro
2020, Volume 2, Issue 4: 734-771. doi: 10.3934/mine.2020035
Abstract HTML PDF Cited (9) Viewed (3738)
Research article
Allen-Cahn equation for the truncated Laplacian: Unusual phenomena
Isabeau Birindelli,  Giulio Galise
2020, Volume 2, Issue 4: 722-733. doi: 10.3934/mine.2020034
Abstract HTML PDF Cited (1) Viewed (3183)
Research article
Some results about semilinear elliptic problems on half-spaces
Alberto Farina
2020, Volume 2, Issue 4: 709-721. doi: 10.3934/mine.2020033
Abstract HTML PDF Cited (7) Viewed (3971)
Research article
Remarks on the decay/growth rate of solutions to elliptic free boundary problems of obstacle type
Morteza Fotouhi,  Andreas Minne,  Henrik Shahgholian,  Georg S. Weiss
2020, Volume 2, Issue 4: 698-708. doi: 10.3934/mine.2020032
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Research article
Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators
Alessia E. Kogoj,  Ermanno Lanconelli,  Enrico Priola
2020, Volume 2, Issue 4: 680-697. doi: 10.3934/mine.2020031
Abstract HTML PDF Cited (1) Viewed (3677)
Research article
A new glance to the Alt-Caffarelli-Friedman monotonicity formula
Fausto Ferrari,  Nicolò Forcillo
2020, Volume 2, Issue 4: 657-679. doi: 10.3934/mine.2020030
Abstract HTML PDF Cited (6) Viewed (3602)
Research article
A note on the Fujita exponent in fractional heat equation involving the Hardy potential
Boumediene Abdellaoui,  Ireneo Peral,  Ana Primo
2020, Volume 2, Issue 4: 639-656. doi: 10.3934/mine.2020029
Abstract HTML PDF Cited (1) Viewed (4048)
Research article
Effect of fibre orientation and bulk modulus on the electromechanical modelling of human ventricles
Luca Azzolin,  Luca Dedè,  Antonello Gerbi,  Alfio Quarteroni
2020, Volume 2, Issue 4: 614-638. doi: 10.3934/mine.2020028
Abstract HTML PDF Cited (7) Viewed (4638)
Research article
Improvement of flatness for vector valued free boundary problems
Daniela De Silva,  Giorgio Tortone
2020, Volume 2, Issue 4: 598-613. doi: 10.3934/mine.2020027
Abstract HTML PDF Cited (6) Viewed (3580)
Research article
On the obstacle problem for the 1D wave equation
Xavier Fernández-Real,  Alessio Figalli
2020, Volume 2, Issue 4: 584-597. doi: 10.3934/mine.2020026
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Mathematics in Engineering
1.4 2.2
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