Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents

DOI10.1016/j.jmaa.2003.11.012zbMath1045.35029OpenAlexW2041617908MaRDI QIDQ1433356

Dongsheng Kang, Shuangjie Peng

Publication date: 15 June 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.012

zbMATH Keywords

compactnesssemilinear elliptic problemsign-changing solutionsingular nonlinearityHardy-Sobolev critical exponent

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (9)

Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions ⋮ The Hardy-Schrödinger operator with interior singularity: the remaining cases ⋮ Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities ⋮ Existence of solutions for elliptic equations with critical Sobolev--Hardy exponents. ⋮ Existence of sign-changing solutions for a nonlinear elliptic problem on \(\mathbb R^N\) with a Hardy term ⋮ Positive solutions for singular critical elliptic problems. ⋮ Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents ⋮ Sign-changing solutions to elliptic problems with two critical Sobolev-Hardy exponents ⋮ Positive solutions for Neumann elliptic problems involving critical Hardy-Sobolev exponent with boundary singularities

Cites Work

• Unnamed Item
• Nodal solutions of elliptic equations with critical Sobolev exponents
• Nodal solutions of semilinear elliptic equations with critical exponent
• Hardy inequalities and some critical elliptic and parabolic problems
• The role played by space dimension in elliptic critical problems
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Existence of solutions for elliptic equations with critical Sobolev--Hardy exponents.
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Selected new aspects of the calculus of variations in the large
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• Existence of solutions for singular critical growth semilinear elliptic equations

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