Eigenvalues of the p(x)-biharmonic operator with indefinite weight under Neumann boundary conditions

被引：11

作者：

Taarabti, S. ^{[1
]}

El Allali, Z. ^{[1
]}

Ben Haddouch, K. ^{[1
]}

机构：

[1] Univ Mohammed Premier, Fac Multidisciplinary Nador, Dept Math & Comp, Lab Appl Math & Informat Syst, Oujda, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2018年 / 36卷 / 01期

关键词：

Fourth order elliptic equation; variable exponent; Neumann boundary conditions; Ekeland variational principle;

D O I：

10.5269/bspm.v36i1.31363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we will study the existence of solutions for the mhomogeneo US elliptic equation with variable exponent, Delta(2)(p(x))u = lambda V (x) vertical bar u vertical bar(q(x)-2)u, in a smooth bounded domain, under Neumann boundary conditions, where A is a positive real number, p,q : (Omega) over bar -> R, are continuous functions, and V is an indefinite weight function. Considering different situations concerning the growth rates involved in the above quoted problem, we will prove the existence of a continuous family of eigenvalues.

引用

页码：195 / 213

页数：19

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