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.

引用

页码：113 / 134

页数：22

共 37 条

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[2]

Anh C. T., 2016, COMPLEX VAR ELLIPTIC, V61, P137

[3]

[Anonymous], 1970, Mat. Sb. (N.S.)

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