Sign-changing solutions of boundary value problems for semilinear Δγ -Laplace equations

被引：2
作者：
Duong Trong Luyen [1 ,2 ]
机构：
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2020年 / 143卷
关键词：
Delta(gamma) -Laplace equations; critical point theorem; sign-changing solutions; boundary value problems; Grushin operator; NODAL SOLUTIONS; CRITICAL-POINTS; EXISTENCE;
D O I：
10.4171/RSMUP/42
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the multiplicity of weak solutions to the boundary value problem {- G(alpha)u = g(x, y, u) + f(x , y, u) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded domain with smooth boundary in R-N (N >= 2), alpha is an element of N, g(x, y, xi), f (x, y, xi ) are Caratheodory functions and G(alpha) is the Grushin operator. We use the lower bounds of eigenvalues and an abstract theory on sign-changing solutions.
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收藏
页码：113 / 134
页数：22
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