Existence and nonexistence results for weighted fourth order eigenvalue problems with variable exponent

Boletim da Sociedade Paranaense de Matemática

Abdesslem Ayoujil¹ 

[1] University Mohammed IRegional Centre of Trades Education and TrainingFaculty of ScienceDepartment of MathematicsLaboratory Nonlinear Analysis;

关键词: Fourth order elliptic equation;    variable exponent;    indefinite weight;    eigenvalue problem;   

DOI  :  10.5269/bspm.v37i3.31657

来源: DOAJ

【 摘 要 】

This paper presents sufficient conditions for the existence and nonexistence of eigenvalues for a $p(x)$-biharmonic equation with Navier boundary conditions and weight function on a bounded domain in $\mathbb{R}^N$. Our approach is mainly based on a adequate variational techniques.

【 授权许可】

Unknown