Existence of Solutions for $$p(x)$$ p ( x ) Laplacian Equations Without Ambrosetti–Rabinowitz Type Condition

Autor:	Zehra Yucedag
Rok vydání:	2015
Předmět:	symbols.namesake Type condition General Mathematics Dirichlet boundary condition Mathematical analysis Mathematics::Analysis of PDEs symbols Multiplicity (mathematics) Computer Science::Computational Geometry Type (model theory) Laplace operator Mathematics
Zdroj:	Bulletin of the Malaysian Mathematical Sciences Society. 38:1023-1033
ISSN:	2180-4206 0126-6705
DOI:	10.1007/s40840-014-0057-1
Popis:	This paper investigates the existence and multiplicity of solutions for superlinear \(p(x)\)-Laplacian equations with Dirichlet boundary conditions. Under no Ambrosetti–Rabinowitz’s superquadraticity conditions, we obtain the existence and multiplicity of solutions using a variant Fountain theorem without Palais-Smale type assumptions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::debab06918a5c38c451997dfe69c8b4b https://doi.org/10.1007/s40840-014-0057-1 Zobrazit plný text záznamu Plný text ve formátu PDF