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.
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页数：15
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