EXISTENCE OF TWO WEAK SOLUTIONS FOR ELLIPTIC EQUATIONS INVOLVING A GENERAL OPERATOR IN DIVERGENCE FORM

被引：0

作者：

Amirkhanlou, S. ^{[1
]}

Afrouzi, G. A. ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

来源：

MATHEMATICAL REPORTS | 2021年 / 23卷 / 03期

关键词：

multiple solutions; boundary value problems; variational methods; critical point; MOUNTAIN PASS SOLUTIONS; EMDEN-FOWLER EQUATION; MULTIPLE SOLUTIONS; DIRICHLET PROBLEM; BIFURCATION; PRINCIPLE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence of at least two distinct weak solutions for a class of elliptic equations involving a general operator in divergence form, subject to Dirichlet boundary conditions in a smooth bounded domain in R-N : A critical point result for differentiable functionals is exploited, in order to prove that the problem admits at least two distinct non-trivial weak solutions.

引用

页码：313 / 324

页数：12

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