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2025年4期
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Multiplicity of Solutions for a Class of Critical Choquard Equation in a Bounded Domain
Multiplicity of Solutions for a Class of Critical Choquard Equation in a Bounded Domain
摘要
In this paper,we consider the following critical Choquard equation-Δu=μf(x)|u|p-2u+(∫Ωg(y)|u(y)|6-v/|x-y|vdy)g(x)|u|4-vu,x ∈ Ω,where μ＞0 is a parameter,v ∈(0,3),p ∈(4,6)and f,g are continuous functions.For μ small enough,by using Lusternik-Schnirelmann category theory,we establish a rela-tionship between the number of solutions and the category of the global maximum set of g.
年，卷(期)：
2025, 38(4)
分类号：
O176.3
机标分类号：
O189.1
TP311
C913.6
在线出版日期：
2026年4月13日
