Anisotropic $ (\vec{p}, \vec{q}) $-Laplacian problems with superlinear nonlinearities

Autor:	Eleonora Amoroso, Angela Sciammetta, Patrick Winkert
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	anisotropic problems critical point theory existence multiplicity results location of the solutions parametric problem $ (\vec{p}， \vec{q}) $-laplacian superlinear nonlinearity Analytic mechanics QA801-939
Zdroj:	Communications in Analysis and Mechanics, Vol 16, Iss 1, Pp 1-23 (2024)
Druh dokumentu:	article
ISSN:	2836-3310 14304767
DOI:	10.3934/cam.2024001?viewType=HTML
Popis:	In this paper we consider a class of anisotropic $ (\vec{p}, \vec{q}) $-Laplacian problems with nonlinear right-hand sides that are superlinear at $ \pm\infty $. We prove the existence of two nontrivial weak solutions to this kind of problem by applying an abstract critical point theorem under very general assumptions on the data without supposing the Ambrosetti-Rabinowitz condition.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c143047673ef4bf5ae7896af7a77391a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF