Multiple solutions for the p-Laplacian equations with concave nonlinearities via Morse theory-Reference-Cited by-同舟云学术

Multiple solutions for the p-Laplacian equations with concave nonlinearities via Morse theory

Published:2017-04-05 Issue:03 Volume:19 Page:1650014
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Sun Mingzheng¹,Su Jiabao²,Cai Hongrui³

Affiliation:

1. College of Sciences, North China University of Technology, 100144 Beijing, P. R. China

2. School of Mathematical Sciences, Capital Normal University, 100048 Beijing, P. R. China

3. College of Sciences, Tianjin University of Technology, 300384 Tianjin, P. R. China

Abstract

In this paper, by Morse theory, we study the existence and multiplicity of solutions for the [Formula: see text]-Laplacian equation with a “concave” nonlinearity and a parameter. In our results, we do not need any additional global condition on the nonlinearities, except for a subcritical growth condition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199716500140

Reference30 articles.

1. Multiplicity Results for Some Nonlinear Elliptic Equations

2. Dual variational methods in critical point theory and applications

3. Nodal solutions of a p-Laplacian equation

4. Nonlinear Schrödinger equations near an infinite well potential

5. Sign-changing and multiple solutions for thep-Laplacian

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory;Complex Variables and Elliptic Equations;2022-05-11

2. Existence of Solutions to a Class of p-Kirchhoff Equations via Morse Theory;Mediterranean Journal of Mathematics;2021-04-20

3. Some perturbation results of Kirchhoff type equations via Morse theory;Fixed Point Theory and Applications;2020-07-13