Multiplicity results for elliptic Kirchhoff-type problems

Advances in Nonlinear Analysis

article

Sami Baraket¹  Giovanni Molica Bisci² 

[1] Department of Mathematics, College of Science, King Saud University;Dipartimento Patrimonio, Università degli Studi Mediterranea di Reggio Calabria

关键词: Critical point;    positive solution;    Kirchhoff-type problems;   

DOI  :  10.1515/anona-2015-0168

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

The aim of this paper is to establish the existence of multiple solutions for a perturbed Kirchhoff-type problem depending on two real parameters. More precisely, we show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the existence of at least three nontrivial weak solutions. Our approach combines variational methods with properties of nonlocal fractional operators.

【 授权许可】

CC BY