Existence and Multiplicity of Nontrivial Solutions for Semilinear Elliptic Equations Involving Hardy–Sobolev Critical Exponents

Existence and Multiplicity of Nontrivial Solutions for Semilinear Elliptic Equations Involving Hardy–Sobolev Critical Exponents

A class of semi-linear elliptic equations with the critical Hardy–Sobolev exponent has been considered. This model is widely used in hydrodynamics and glaciology, gas combustion in thermodynamics, quantum field theory, and statistical mechanics, as well as in gravity balance problems in galaxies. Th...

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Bibliographic Details
Main Authors: Yonghong Fan, Wenheng Sun, Linlin Wang
Format: Article
Language:English
Published: MDPI AG 2024-07-01
Series:Axioms
Subjects:
semilinear elliptic equation
Hardy–Sobolev critical exponent
mountain pass lemma
(<i>PS</i>)<sub><i>c</i></sub> condition
Online Access:https://www.mdpi.com/2075-1680/13/7/450

Internet

https://www.mdpi.com/2075-1680/13/7/450

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