Sequences of Weak Solutions for a Navier Problem Driven by the p(x)-Biharmonic Operator

被引：0

作者：

Cammaroto, Filippo ^{[1
]}

Vilasi, Luca ^{[1
]}

机构：

[1] Univ Messina, Dept Math & Comp Sci, Phys Sci & Earth Sci, Viale F Stagno dAlcontres 31, I-98166 Messina, Italy

来源：

MINIMAX THEORY AND ITS APPLICATIONS | 2019年 / 4卷 / 01期

关键词：

p(x)-biharmonic operator; p(x)-Laplacian operator; Navier problem; multiplicity; EXISTENCE; EQUATION; LEBESGUE; SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive the existence of infinitely many solutions for an elliptic problem involving both the p(x)-biharmonic and the p(x)-Laplacian operators under Navier boundary conditions. Our approach is of variational nature and does not require any symmetry of the nonlinearities. Instead, a crucial role is played by suitable test functions in some variable exponent Sobolev space, of which we provide the abstract structure better suited to the framework.

引用

页码：71 / 85

页数：15

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