Existence of solution for Dirichlet problem with p(x)-Laplacien

Boletim da Sociedade Paranaense de Matemática

L. Elbouyahyaoui¹  Nimoun Moussaoui¹ 

[1] CRMEF (Centre Régionale des Métiers d’Education et de Formation),;

关键词: p(x)-Laplacien;    Generalized Lebesgue (Sobolev) spaces;    Critical points;   

DOI  :  10.5269/bspm.v33i2.24210

来源: DOAJ

【 摘 要 】

In this paper we study an elliptic equation involving the p(x)-Laplacien operateur, for that equation we prove the existence of a non trivial weak solution. The proof relies on simple variational arguments based on the Mountain-Pass theorem.

【 授权许可】

Unknown