Existence and multiplicity of solutions for nonlocal fourth-order elliptic equations with combined nonlinearities

被引：1
|
作者：
Yuanfang, Ru [1 ]
Yukun, An [2 ]
机构：
[1] China Pharmaceut Univ, Coll Sci, Nanjing 211198, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期
关键词：
Fourth-order elliptic equation; Nonlocal; Asymptotically linear; Mountain pass theorem; Critical point; KIRCHHOFF-TYPE; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS;
D O I：
10.1186/s13661-020-01430-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the following nonlocal fourth-order elliptic problem: {Delta(2)u-m(integral(Omega)vertical bar del u vertical bar(2)dx)Delta u = a(x)vertical bar u vertical bar(s) (2)u+f(x, u), x is an element of Omega, u - Delta u = 0, x is an element of partial derivative Omega, by using the mountain pass theorem, the least action principle, and the Ekeland variational principle, the existence and multiplicity results are obtained.
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页数：16
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