CONCAVE SOLUTIONS TO FINSLER p-LAPLACE TYPE EQUATIONS

S. Mosconi; G. Riey; Marco Squassina

doi:10.3934/dcds.2024073

CONCAVE SOLUTIONS TO FINSLER p-LAPLACE TYPE EQUATIONS

S. Mosconi
, G. Riey^*
, Marco Squassina

^*Autore corrispondente per questo lavoro

University of Catania
University of Calabria

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

We prove concavity properties for solutions to anisotropic quasilinear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth anisotropies and in particular we also allow the functions describing the anisotropies to be not even.

Lingua originale	Inglese
pagine (da-a)	3669-3697
Numero di pagine	29
Rivista	Discrete and Continuous Dynamical Systems
Volume	44
Numero di pubblicazione	12
DOI	https://doi.org/10.3934/dcds.2024073
Stato di pubblicazione	Pubblicato - 2024

All Science Journal Classification (ASJC) codes

Analisi
Matematica Discreta e Combinatoria
Matematica Applicata

Keywords

Finsler p-Laplace operator
Nonsmooth analysis
anisotropic problems
convexity of solutions
quasilinear elliptic equations

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10.3934/dcds.2024073

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abstract = "We prove concavity properties for solutions to anisotropic quasilinear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth anisotropies and in particular we also allow the functions describing the anisotropies to be not even.",

keywords = "Finsler p-Laplace operator, Nonsmooth analysis, anisotropic problems, convexity of solutions, quasilinear elliptic equations, Finsler p-Laplace operator, Nonsmooth analysis, anisotropic problems, convexity of solutions, quasilinear elliptic equations",

author = "S. Mosconi and G. Riey and Marco Squassina",

year = "2024",

doi = "10.3934/dcds.2024073",

language = "English",

volume = "44",

pages = "3669--3697",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

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AU - Mosconi, S.

AU - Riey, G.

AU - Squassina, Marco

PY - 2024

Y1 - 2024

N2 - We prove concavity properties for solutions to anisotropic quasilinear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth anisotropies and in particular we also allow the functions describing the anisotropies to be not even.

AB - We prove concavity properties for solutions to anisotropic quasilinear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth anisotropies and in particular we also allow the functions describing the anisotropies to be not even.

KW - Finsler p-Laplace operator

KW - Nonsmooth analysis

KW - anisotropic problems

KW - convexity of solutions

KW - quasilinear elliptic equations

KW - Finsler p-Laplace operator

KW - Nonsmooth analysis

KW - anisotropic problems

KW - convexity of solutions

KW - quasilinear elliptic equations

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 12

ER -

CONCAVE SOLUTIONS TO FINSLER p-LAPLACE TYPE EQUATIONS

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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