Approximate convexity principles and applications to PDEs in convex domains

Marco Squassina; Claudia Dalia Bucur

doi:10.1016/j.na.2019.111661

Approximate convexity principles and applications to PDEs in convex domains

Risultato della ricerca: Contributo in rivista › Articolo in rivista

Abstract

We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases

Lingua originale	English
pagine (da-a)	1-21
Numero di pagine	21
Rivista	NONLINEAR ANALYSIS
DOI	https://doi.org/10.1016/j.na.2019.111661
Stato di pubblicazione	Pubblicato - 2020

Keywords

convexity principles

Accesso al documento

10.1016/j.na.2019.111661

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title = "Approximate convexity principles and applications to PDEs in convex domains",

abstract = "We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases",

keywords = "convexity principles, convexity principles",

author = "Marco Squassina and Bucur, {Claudia Dalia}",

year = "2020",

doi = "10.1016/j.na.2019.111661",

language = "English",

pages = "1--21",

journal = "NONLINEAR ANALYSIS",

issn = "0362-546X",

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T1 - Approximate convexity principles and applications to PDEs in convex domains

AU - Squassina, Marco

AU - Bucur, Claudia Dalia

PY - 2020

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N2 - We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases

AB - We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases

KW - convexity principles

UR - http://hdl.handle.net/10807/154886

U2 - 10.1016/j.na.2019.111661

DO - 10.1016/j.na.2019.111661

M3 - Article

SN - 0362-546X

SP - 1

EP - 21

JO - NONLINEAR ANALYSIS

JF - NONLINEAR ANALYSIS

ER -

Approximate convexity principles and applications to PDEs in convex domains

Abstract

Keywords

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