Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term (Q887452)

scientific article; zbMATH DE number 6498076

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English	Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term	scientific article; zbMATH DE number 6498076

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instance of

scholarly article

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title

Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term (English)

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26 October 2015

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zbMATH Keywords

Hardy-Sobolev-Maz'ya inequality

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mountain pass lemma

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positive solutions

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subsolution and supersolution

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10114-015-4230-8

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cites work

Dual variational methods in critical point theory and applications

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A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics

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On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities

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Stationary spherically symmetric models in stellar dynamics

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Hardy-Sobolev-Maz'ya type equations in bounded domains

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Solutions for semilinear elliptic equations with critical exponents and Hardy potential

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A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.

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A global compactness result for singular elliptic problems involving critical Sobolev exponent

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An existence result for nonliner elliptic problems involving critical Sobolev exponent

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Some existence results for superlinear elliptic boundary value problems involving critical exponents

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Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary

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Existence of multiple positive solutions for $$ - \Delta u = \lambda u + u^{\frac{{N + 2}}{{N - 2}}} + \mu f\left( x \right)*$$

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Existence of multiple positive solutions for inhomogeneous Neumann problem

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Multiplicity of stationary solutions to the Euler--Poisson equations

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Classification of solutions of a critical Hardy--Sobolev operator

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A Note on Regularity of Solutions to Degenerate Elliptic Equations of Caffarelli-Kohn-Nirenberg Type

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Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents

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Revisiting an idea of Brézis and Nirenberg

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The role played by space dimension in elliptic critical problems

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On the positive solutions of the Matukuma equation

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On conformal scalar curvature equations in ${\mathbb{R}}^ n$

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On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations

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Ground state solutions of a critical problem involving cylindrical weights

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A global compactness result for elliptic boundary value problems involving limiting nonlinearities

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On existence of mimimizers for the Hardy-Sobolev-Maz'ya inequality

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INFINITELY MANY SOLUTIONS FOR HARDY–SOBOLEV–MAZ'YA EQUATION INVOLVING CRITICAL GROWTH

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published in

Acta Mathematica Sinica, English Series

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Identifiers

zbMATH Open document ID

1331.35132

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Mathematics Subject Classification ID

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10.1007/S10114-015-4230-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:887452