EXISTENCE OF MULTIPLE SOLUTIONS FOR A FOURTH-ORDER PROBLEM WITH VARIABLE EXPONENT

被引：2

作者：

Donatelli, Marco ^{[1
]}

Vilasi, Luca ^{[2
,3
]}

机构：

[1] Univ Insubria, Dept Sci & High Technol, Via Valleggio 11, I-22100 Como, Italy

[2] Univ Insubria, Dept Sci & High Technol, Via GB Vico 46, I-21100 Varese, Italy

[3] Univ Insubria, Riemann Int Sch Math, Via GB Vico 46, I-21100 Varese, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 05期

关键词：

p(x)-biharmonic operator; Navier conditions; multiplicity; variational methods; SPACES; FUNCTIONALS;

D O I：

10.3934/dcdsb.2021141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a new multiplicity result for a weighted p(x)-biharmonic problem on a bounded domain Omega of R-n with Navier conditions on partial derivative Omega. Our approach, of variational nature, requires a suitable oscillating behavior of the nonlinearity and the associated weight to be compactly supported in Omega.

引用

页码：2471 / 2481

页数：11

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