English

Three solutions for a new Kirchhoff-type problem

Analysis of PDEs 2020-08-10 v1

Abstract

This article concerns on the existence of multiple solutions for a new Kirchhoff-type problem with negative modulus. We prove that there exist three nontrivial solutions when the parameter is enough small via the variational methods and algebraic analysis. Moreover, our fundamental technique is one of the Mountain Pass Lemma, Ekeland variational principle, and Minimax principle.

Keywords

Cite

@article{arxiv.2008.02838,
  title  = {Three solutions for a new Kirchhoff-type problem},
  author = {Yue Wang},
  journal= {arXiv preprint arXiv:2008.02838},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T17:41:27.434Z