Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator-Reference-Cited by-同舟云学术

Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator

Published:2023-07-12 Issue:4 Volume:133 Page:535-553
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Tao Huo¹,Li Lin¹,Yang Xiao-Qiong²

Affiliation:

1. School of Mathematics and Statistics & Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing Technology and Business University, Chongqing 400067, China

2. School of Foreign Languages, Chongqing Technology and Business University, Chongqing 400067, China

Abstract

In this paper, we study the existence results of a quasilinear elliptic problem involving the 1-biharmonic operator in R N , whose nonlinearity satisfies appropriate conditions. The existence theorem is proved through a new version of the Mountain Pass Theorem to locally Lipschitz functionals, where it is considered the Cerami compactness condition rather than the Palais–Smale one.

Publisher

IOS Press

Subject

General Mathematics

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