Existence of infinitely many solutions for a p-Kirchhoff problem in RN

被引：1

作者：

Xiu, Zonghu ^{[1
]}

Zhao, Jing ^{[1
]}

Chen, Jianyi ^{[1
]}

机构：

[1] Qingdao Agr Univ, Sci & Informat Coll, Qingdao, Shandong, Peoples R China

来源：

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

基金：

中国国家自然科学基金;

关键词：

Singular elliptic problem; Variational methods; Palais-Smale condition; CONCAVE-CONVEX NONLINEARITIES; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; ELLIPTIC-EQUATIONS; MULTIPLICITY;

D O I：

10.1186/s13661-020-01403-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence of multiple solutions of the following singular nonlocal elliptic problem: {-M(integral N-R vertical bar x vertical bar(-ap)vertical bar del u vertical bar(p))div(vertical bar x vertical bar(-ap)vertical bar del u|(p-2)del u) = h(x)vertical bar u vertical bar(r-2)u + H(x)vertical bar u vertical bar(q-2)u, u(x) -> 0 as vertical bar x vertical bar -> infinity, where x is an element of R-N, and M(t) = alpha + beta t. By the variational method we prove that the problem has infinitely many solutions when some conditions are fulfilled.

引用

页数：12

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