Positive solutions for some singular critical growth nonlinear elliptic equations

DOI10.1016/j.na.2004.08.042zbMath1273.35124OpenAlexW1968630437MaRDI QIDQ707045

Shuangjic Peng, Dao-Min Cao, Xiao-Ming He

Publication date: 9 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.08.042

zbMATH Keywords

critical Sobolev exponentspositive solutionscompactnessHardy inequalitysingular elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (19)

Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions ⋮ Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities ⋮ On the elliptic problems with critical weighted Sobolev-Hardy exponents ⋮ On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy exponents ⋮ The Hardy-Schrödinger operator with interior singularity: the remaining cases ⋮ Fractional Hardy-Sobolev elliptic problems ⋮ Positive solutions for elliptic problems with the nonlinearity containing singularity and Hardy-Sobolev exponents ⋮ Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities ⋮ Nontrivial solutions for some singular critical growth semilinear elliptic equations ⋮ Singular elliptic problems in \(\mathbb R^N\) with critical Sobolev-Hardy exponents ⋮ On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms ⋮ On the elliptic problems involving multi-singular inverse square potentials and critical Sobolev exponent ⋮ Multiplicity of solutions for a class of quasilinear elliptic equation involving the critical Sobolev and Hardy exponents ⋮ Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients ⋮ Positive solutions for Neumann elliptic problems involving critical Hardy-Sobolev exponent with boundary singularities ⋮ Positive solutions for the Hardy-Sobolev-Maz'ya equation with Neumann boundary condition ⋮ Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents ⋮ On the weighted elliptic problems involving multi-singular potentials and multi-critical exponents ⋮ Multiplicity of solutions for quasilinear elliptic systems with singularity

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