Work

Anisotropic problems with variable exponents and constant Dirichlet conditions

Year: 2013

Type: article

Abstract: We study a general class of anisotropic problems involving $\vec p(\cdot)$-Laplace type operators. We search for weak solutions that are constant on the boundary by introducing a new subspace of the anisotropic Sobolev space with variable exponent and by proving that it is a reflexive Banach space. Our argumentation for the existence of weak solutions is mainly based on a variant of the mountain pass theorem of Ambrosetti and Rabinowitz.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

Authors: Maria-Magdalena Boureanu, Cristian Udrea, Diana-Nicoleta" Udrea

Institution: University of Craiova

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4388800452

FWCI:

Cites:

Cited by: 1

Related to: 10