Infinitely many sign-changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponent

DOI10.1007/s12044-016-0304-5zbMath1364.35035arXiv1410.7880OpenAlexW2303574041MaRDI QIDQ2358328

Mousomi Bhakta

Publication date: 14 June 2017

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7880

zbMATH Keywords

sign-changing solutioninfinitely many solutionsHardy-Sobolevmultiple critical exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (5)

Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents ⋮ A note on the sign-changing solutions for a double critical Hardy-Sobolev-Maz'ya problem ⋮ Global bifurcation for nonlinear elliptic problems with gradient term ⋮ Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms ⋮ Bifurcation for nonlinear elliptic problems with singular potentials

Cites Work

• Unnamed Item
• Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy-Sobolev exponents
• On an elliptic problem with critical exponent and Hardy potential
• The effect of curvature on the best constant in the Hardy-Sobolev inequalities
• On the Brézis-Nirenberg problem
• Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary
• On a \(p\)-Laplace equation with multiple critical nonlinearities
• Hardy-Sobolev-Maz'ya type equations in bounded domains
• Concentration estimates and multiple solutions to elliptic problems at critical growth
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Hardy-Sobolev critical elliptic equations with boundary singularities
• Sign changing solutions of the Brezis-Nirenberg problem in the hyperbolic space
• Dual variational methods in critical point theory and applications
• A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents
• Sign changing solutions of the Hardy–Sobolev–Maz'ya equation
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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