Blow-Up Analysis of L2-Norm Solutions for an Elliptic Equation with a Varying Nonlocal Term

Author:

Zhu Xincai1,He Chunxia1

Affiliation:

1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China

Abstract

This paper is devoted to studying a type of elliptic equation that contains a varying nonlocal term. We provide a detailed analysis of the existence, non-existence, and blow-up behavior of L2-norm solutions for the related equation when the potential function V(x) fulfills an appropriate choice.

Funder

National Nature Science Foundation of China

Nanhu Scholars Program for Young Scholars of XYNU

Publisher

MDPI AG

Reference39 articles.

1. Positive solutions for a quasilinear elliptic equation of Kirchhoff type;Alves;Comput. Math. Appl.,2005

2. On an elliptic equation of p-Kirchhoff type via variational methods;Figueiredo;Bull. Aust. Math. Soc.,2006

3. On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method;Figueiredo;Bound. Value Probl.,2006

4. Existence and concentration behavior of positive solutions for a Kirchhoff equation in R3;He;J. Differ. Equ.,2012

5. Global existence and finite time blow-up for a class of nonlocal parabolic problems;Bebernos;Adv. Diff. Equ.,1997

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