Multiplicity results for biharmonic equations with critical growth

被引：0

作者：

Pan, Wen-Wu ^{[1
]}

机构：

[1] Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Peoples R China

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2024年 / 10卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Biharmonic equations; Critical nonlinearities; Variational methods; 4TH-ORDER ELLIPTIC-EQUATIONS; NONTRIVIAL SOLUTIONS; EXISTENCE;

D O I：

10.1007/s41808-024-00300-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with multiplicity and bifurcation results for nonlinear problems driven by the biharmonic operator Delta(2) and involving a critical Sobolev term. In particular, we consider {Delta(2)u = lambda|u|(2 & lowast;-2 )u + f(x, u) in Omega u = Delta u = 0 on partial derivative Omega, where Omega subset of R(n )is an open bounded set with continuous boundary, n > 4, lambda is a positive real parameter, 2(& lowast; )= 2n/(n - 4) is the critical Sobolev exponent and f is a Carath & eacute;odory function satisfying different subcritical conditions.

引用

页码：1235 / 1253

页数：19

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