Almost all weak solutions of the weighted p(.)-biharmonic problem

被引：4

作者：

Aydin, Ismail ^{[1
]}

机构：

[1] Sinop Univ, Dept Math, TR-57000 Sinop, Turkiye

来源：

JOURNAL OF ANALYSIS | 2024年 / 32卷 / 01期

关键词：

Weighted p(.)-biharmonic operator; Poincare inequality; Variational methods; EXPONENT SOBOLEV SPACES; ELLIPTIC PROBLEM; EXISTENCE; MULTIPLICITY; EQUATIONS; SPECTRUM;

D O I：

10.1007/s41478-023-00628-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new compact embedding theorem, and use an equivalent norm to obtain some different solutions of the weighted p(.)-biharmonic eigenvalue problem [GRAPHICS] Using Mountain Pass Theorem we show that the problem has a nontrivial weak solution. Moreover, we obtain infinite many pairs of solutions of the problem due to the Fountain Theorem.

引用

页码：171 / 190

页数：20

共 44 条

[1]

[Anonymous], 1996, Minimax theorems, DOI DOI 10.1007/978-1-4612-4146-1

[2]

[Anonymous], 2001, Electron. J. Differential Equations

[3] Existence and multiplicity of weak solutions for eigenvalue Robin problem with weighted p(.)-Laplacian [J].