Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term
type: Item
instance of: scholarly article
title: Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term
zbMATH Open document ID: 1331.35132
author: Shuangjie Peng
author: Jing Yang
publication date: 2015-10-26T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6498076
zbMATH Keywords: Hardy-Sobolev-Maz'ya inequality
zbMATH Keywords: mountain pass lemma
zbMATH Keywords: positive solutions
zbMATH Keywords: subsolution and supersolution
MaRDI profile type: Publication
full work available at URL: s10114-015-4230-8
OpenAlex ID: W768806383
cites work: Dual variational methods in critical point theory and applications
cites work: A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
cites work: On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
cites work: Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities
cites work: Stationary spherically symmetric models in stellar dynamics
cites work: Hardy-Sobolev-Maz'ya type equations in bounded domains
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Solutions for semilinear elliptic equations with critical exponents and Hardy potential
cites work: A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
cites work: A global compactness result for singular elliptic problems involving critical Sobolev exponent
cites work: An existence result for nonliner elliptic problems involving critical Sobolev exponent
cites work: Some existence results for superlinear elliptic boundary value problems involving critical exponents
cites work: Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary
cites work: Existence of multiple positive solutions for $$ - \Delta u = \lambda u + u^{\frac{{N + 2}}{{N - 2}}} + \mu f\left( x \right)*$$
cites work: Existence of multiple positive solutions for inhomogeneous Neumann problem
cites work: Multiplicity of stationary solutions to the Euler--Poisson equations
cites work: Classification of solutions of a critical Hardy--Sobolev operator
cites work: A Note on Regularity of Solutions to Degenerate Elliptic Equations of Caffarelli-Kohn-Nirenberg Type
cites work: Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
cites work: Revisiting an idea of Brézis and Nirenberg
cites work: The role played by space dimension in elliptic critical problems
cites work: On the positive solutions of the Matukuma equation
cites work: On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
cites work: On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations
cites work: Ground state solutions of a critical problem involving cylindrical weights
cites work: A global compactness result for elliptic boundary value problems involving limiting nonlinearities
cites work: On existence of mimimizers for the Hardy-Sobolev-Maz'ya inequality
cites work: INFINITELY MANY SOLUTIONS FOR HARDY–SOBOLEV–MAZ'YA EQUATION INVOLVING CRITICAL GROWTH
DOI: 10.1007/S10114-015-4230-8
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6498076