Existence and multiplicity of solutions for a class of p-Kirchhoff-type equation RN

被引：0
|
作者：
Chen, Lijuan [1 ]
Xue, Changfeng [1 ]
Wang, Fangfang [1 ]
机构：
[1] Yancheng Inst Technol, Sch Math & Phys, Yancheng 224051, Peoples R China
来源：
OPEN MATHEMATICS | 2023年 / 21卷 / 01期
关键词：
p-Kirchhoff-type equation; (PS)(c) condition; symmetric mountain pass lemma; POSITIVE SOLUTION; ELLIPTIC PROBLEMS; GROWTH;
D O I：
10.1515/math-2023-0107
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article shows the existence and multiplicity of solutions for the following p-Kirchhoff-type equation: [a + b integral(RN) (vertical bar del u vertical bar(p) + V(x)vertical bar u vertical bar(p))dx](-Delta(p)u + V(x)vertical bar u vertical bar(p-2)u) = lambda g(x)vertical bar u vertical bar(r-2)u - h(x)vertical bar u vertical bar(q-2)u, in R-N. where lambda is a real parameter and 1 < p < q < infinity, a and b are positive constants. Depending on the relationship of p, q, and r, we obtain the existence, multiplicity, and nonexistence of solutions to the abovementioned equation using variational methods.
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页数：13
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