Infinitely many solutions for a class of critical Kirchhoff-type equations involving p-Laplacian operator

被引：0

作者：

Li, Anran ^{[1
]}

Fan, Dandan ^{[1
]}

Wei, Chongqing ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Critical Kirchhoff-type equations; Variational methods; Concentration compactness lemma; Clark's theorem; CONCENTRATION-COMPACTNESS PRINCIPLE; NONTRIVIAL SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE; MULTIPLICITY;

D O I：

10.1007/s00033-021-01674-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the following Kirchhoff-type equation - M(integral(RN)vertical bar del u vertical bar(p)dx)Delta(p)u = vertical bar u vertical bar(p*- 2)u + h(x)vertical bar u vertical bar(q-2)u, x is an element of R-N, where N >= 3, 1 < p < N, p(*) = N-p/N-p, 0 < h is an element of L p(*)/p(*)- q(R-N) with q is an element of (1, p(*)); M is a nonnegative continuous function with some growth conditions. We show that the above problem has infinitely many solutions by using variational methods.

引用

页数：13

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