Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy-Sobolev exponents
type: Item
instance of: scholarly article
title: Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy-Sobolev exponents
zbMATH Open document ID: 1247.35040
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-07-04T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B33
zbMATH DE Number: 6052851
zbMATH Keywords: \(G\)-symmetric solution
zbMATH Keywords: symmetric criticality principle
zbMATH Keywords: critical Hardy-Sobolev exponent
zbMATH Keywords: variational methods
author: Zhiying Deng
author: Yisheng Huang
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.04.011
OpenAlex ID: W2080688422
cites work: Q3993273
cites work: Hardy inequalities and some critical elliptic and parabolic problems
cites work: Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
cites work: On a Class of Critical Elliptic Equations of Caffarelli-Kohn-Nirenberg Type
cites work: Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents
cites work: On an elliptic problem with critical exponent and Hardy potential
cites work: Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities
cites work: Higher order singular problems of Caffarelli-Kohn-Nirenberg-Lin type
cites work: On a singular class of elliptic systems involving critical growth in \(\mathbb R^2\)
cites work: On ground state solutions for some non-autonomous Schrödinger-Poisson systems
cites work: On symmetric solutions of a singular elliptic equation with critical Sobolev--Hardy exponent
cites work: On \(G\)-symmetric solutions of a quasilinear elliptic equation involving critical Hardy-Sobolev exponent
cites work: On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
cites work: Infinitely many nonradial solutions of a Euclidean scalar field equation
cites work: On the existence of G-symmetric entire solutions for semilinear elliptic equations
cites work: Sobolev type embedding and quasilinear elliptic equations with radial potentials
cites work: The principle of symmetric criticality
cites work: Q3676658
cites work: Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type.
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Q3749777
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
DOI: 10.1016/J.JMAA.2012.04.011
description: scientific article; zbMATH DE number 6052851