2021 Some bifurcation results and multiple solutions for the $p$-Laplacian equation
Mingzheng Sun, Jiabao Su, Leiga Zhao
Topol. Methods Nonlinear Anal. 58(2): 353-366 (2021). DOI: 10.12775/TMNA.2021.022

Abstract

In this paper, we first give some bifurcation results near the origin for the $p$-Laplacian equation, then multiple solutions are obtained based on the combination of perturbation methods in critical groups and minimax methods.

Citation

Download Citation

Mingzheng Sun. Jiabao Su. Leiga Zhao. "Some bifurcation results and multiple solutions for the $p$-Laplacian equation." Topol. Methods Nonlinear Anal. 58 (2) 353 - 366, 2021. https://doi.org/10.12775/TMNA.2021.022

Information

Published: 2021
First available in Project Euclid: 17 December 2021

MathSciNet: MR4421224
zbMATH: 1494.35025
Digital Object Identifier: 10.12775/TMNA.2021.022

Keywords: bifurcation , Morse theory , multiple solutions , p-Laplacian

Rights: Copyright © 2021 Juliusz P. Schauder Centre for Nonlinear Studies

JOURNAL ARTICLE
14 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.58 • No. 2 • 2021
Back to Top