Multiplicity of Solutions for a singular Problem Involving the n-Laplacian

被引：0
|
作者：
Wu, Zijian [1 ]
Chen, Haibo [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 02期
关键词：
n-Laplacian; Singular problem; Nehari manifold; Multiple solutions; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; CONVEX NONLINEARITIES; NEHARI MANIFOLD; P-LAPLACIAN; CONCAVE;
D O I：
10.1007/s12346-023-00946-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the following n-Laplacian equation with singular and exponential nonlinearities { -Delta(n)u = lambda u(-q) + u(p-1) e(u beta)/|x|(alpha) in Omega, u > 0 in Omega, u = 0 on partial derivative Omega, where Omega is a bounded domain in R-n with smooth boundary partial derivative Omega, n >= 2, 0 < q < 1, p > 2n, beta is an element of(1, n/n-1), 0 < alpha < n and lambda > 0 is a parameter. By analyzing the energy functional over the suitable subsets of Nehari manifold, two distinct solutions are obtained.
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页数：19
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