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

Xincai Zhu; Chunxia He

doi:10.3390/axioms13050336

Axioms (May 2024)

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

Xincai Zhu,
Chunxia He

Affiliations

Xincai Zhu: School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
Chunxia He: School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China

DOI: https://doi.org/10.3390/axioms13050336
Journal volume & issue: Vol. 13, no. 5
p. 336

Abstract

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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.

Published in Axioms

ISSN: 2075-1680 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/axioms

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