ON THE CRITICAL p-KIRCHHOFF EQUATION

被引：0

作者：

Hasani, Erisa ^{[1
]}

Perera, Kanishka ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 61卷 / 01期

关键词：

p-Kirchhoff equation; critical Sobolev exponent; existence; mul-tiplicity; Morse theory; Fadell-Rabinowitz cohomological index; cohomological local splitting; NONTRIVIAL SOLUTIONS; LAPLACIAN PROBLEMS;

D O I：

10.12775/TMNA.2021.061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonlocal elliptic equation of p-Kirchhoff type in-volving the critical Sobolev exponent. First we give sufficient conditions for the (PS) condition to hold. Then we prove some existence and multiplicity results using tools from Morse theory, in particular, the notion of a coho-mological local splitting and eigenvalues based on the Fadell-Rabinowitz cohomological index.

引用

页码：383 / 391

页数：9

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