Variational techniques for a system of Sturm-Liouville equations

被引：2

作者：

Shokooh, Saeid ^{[1
]}

机构：

[1] Gonbad Kavous Univ, Fac Basic Sci, Dept Math, Gonbad Kavous, Iran

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2023年 / 9卷 / 01期

关键词：

Sixth order Sturm-Liouville equation; Multiplicity of solutions; Critical point; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1007/s41808-023-00217-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study a system of sixth order Sturm-Liouville equations with positive parameter ?. By exploiting the variational method and critical point theory, we show that if the control parameter ? is placed in an appropriate interval, our problem has one nontrivial weak solution. It should be noted that no symmetry assumption is used in the results.

引用

页码：595 / 610

页数：16

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