For a class of p(x)-biharmonic operators with weights

被引：3

作者：

Kefi, Khaled ^{[1
,2
]}

机构：

[1] Northern Border Univ, Community Coll Rafha, Ar Ar, Saudi Arabia

[2] Univ Tunis, Dept Math, Fac Sci, Inst Preparatoire Etud Ingn Tunis, Tunis, Tunisia

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 02期

关键词：

p(x)-biharmonic operator; Generalized Sobolev spaces; Ekeland's variational principle; Weak solution;

D O I：

10.1007/s13398-018-0567-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the fourth order nonlinear problem with a p(x)- biharmonic operators where . RN with N = 2 is a bounded domain with smooth boundary,., mu are positive real numbers, p1, p2, q and a are continuous functions on , V1 and V2 are weight functions in a generalized Lebesgue spaces Ls1(x)() and Ls2(x)() respectively such that V1 may change sign in and V2 = 0 on . We established an existence results using variational approaches and Ekeland's variational principle.

引用

页码：1557 / 1570

页数：14

共 29 条

[1]

[Anonymous], 2002, THESIS U FRIEBURG GE

[2] A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions [J].