期刊论文

Existence of Solutions for a Class of Fourth-order Elliptic Equations

中文

南华大学学报(自然科学版)

1673-0062

2022

36

6

65-71

10.19431/j.cnki.1673-0062.2022.06.011

本校为第一机构

研究了一类四阶椭圆型方程解的存在性,在对非线性项作新的假设条件下,通过山路引理得到了四阶椭圆方程的一个非平凡解的存在性结果。 研究了一类四阶椭圆型方程解的存在性,在对非线性项作新的假设条件下,通过山路引理得到了四阶椭圆方程的一个非平凡解的存在性结果。

In this paper, we study the existence of solutions for a class of fourth-order elliptic equations. Under new assumptions on nonlinearity f, the existence of a nontrivial solution of a fourth order elliptic equation is obtained by using critical theorems. In this paper, we study the existence of solutions for a class of fourth-order elliptic equations. Under new assumptions on nonlinearity f, the existence of a nontrivial solution of a fourth ord...