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
收藏
页码：171 / 190
页数：20
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