Multiplicity results involving p-biharmonic Kirchhoff-type problems

被引：0

作者：

Alsaedi, Ramzi ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

关键词：

Variational method; Biharmonic Kirchhoff-type equations; Multiple solutions; Nehari manifold; BOUNDARY-VALUE-PROBLEMS; NONTRIVIAL SOLUTIONS; NEHARI MANIFOLD; LAPLACIAN; EQUATIONS; OSCILLATIONS; EXISTENCE;

D O I：

10.1186/s13661-020-01416-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of multiple solutions for the following Kirchhoff type equations involving p-biharmonic operator: -M(integral(Omega)(vertical bar Delta(p)u vertical bar(2)+vertical bar u vertical bar(p))dx)(Delta(2)(p)u-vertical bar u vertical bar(p-2)u)=lambda f(x)vertical bar u vertical bar(q-2)u+g(x)vertical bar u vertical bar m(-2)u, x is an element of Omega, where Omega is a bounded domain in R-N (N > 1), lambda>0,p,q,m > 1, M is a continuous function, and the weight functionsfandgare measurable. We obtain the existence results by combining the variational method with Nehari manifold and fibering maps.

引用

页数：15

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