Radially Symmetric Positive Solutions of the Dirichlet Problem for the p-Laplace Equation-Reference-Cited by-同舟云学术

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Radially Symmetric Positive Solutions of the Dirichlet Problem for the p-Laplace Equation

Published:2024-07-27 Issue:15 Volume:12 Page:2351
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Yang Bo¹^ORCID

Affiliation:

1. Department of Mathematics, Kennesaw State University, Kennesaw, GA 30144, USA

Abstract

We consider the p-Laplace boundary value problem with the Dirichlet boundary condition. A new lower estimate for positive solutions of the problem is obtained. As an application of this new lower estimate, some sufficient conditions for the existence and nonexistence of positive solutions for the p-Laplace problem are obtained.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/15/2351/pdf

Reference15 articles.

1. Positive radial solutions of p-Laplacian equation with sign changing nonlinear sources;Jin;Math. Methods Appl. Sci.,2007

2. Origin of the p-Laplacian and A. Missbach;Benedikt;Electron. J. Differ. Equ.,2018

3. A priori bounds for positive radial solutions of quasilinear equations of Lane-Emden type;Bae;Arch. Math.,2023

4. Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems;Graef;J. Math. Anal. Appl.,2007

5. Graef, J.R., Kong, L., and Wang, M. (2014, January 7–11). Existence of homoclinic solutions for second order difference equations with p-Laplacian. Proceedings of the 10th AIMS Conference, Dynamical Systems, Differential Equations and Applications, Madrid, Spain.

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