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

DOI10.1016/j.jde.2008.12.011zbMath1171.35040OpenAlexW2000086722MaRDI QIDQ1022928

J. Martínez

Publication date: 10 June 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.12.011

zbMATH Keywords

regularityHardy-Sobolev-Maz'ya type equationsPalais-smale characterization

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (17)

Infinitely many sign-changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponent ⋮ A note on the sign-changing solutions for a double critical Hardy-Sobolev-Maz'ya problem ⋮ Infinitely many solutions for a Hardy-Sobolev equation involving critical growth ⋮ Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term ⋮ Poincaré-Sobolev equations in the hyperbolic space ⋮ Unnamed Item ⋮ Caffarelli-Kohn-Nirenberg type equations of fourth order with the critical exponent and Rellich potential ⋮ On elliptic systems with Sobolev critical growth ⋮ INFINITELY MANY SOLUTIONS FOR HARDY–SOBOLEV–MAZ'YA EQUATION INVOLVING CRITICAL GROWTH ⋮ Sign changing solutions of the Brezis-Nirenberg problem in the hyperbolic space ⋮ Positive solutions to a semilinear elliptic equation with a Sobolev-Hardy term ⋮ Positive solutions for elliptic problems involving Hardy-Sobolev-Maz'ya terms ⋮ Fractional Hardy-Sobolev equations with nonhomogeneous terms ⋮ Positive solutions for the Hardy-Sobolev-Maz'ya equation with Neumann boundary condition ⋮ Theoretical developments in the study of partial differential equations ⋮ Some notes on the critical Hardy inequalities ⋮ Infinitely many solutions for an elliptic problem with double critical Hardy-Sobolev-Maz'ya terms

Cites Work

• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Ground state solutions of a critical problem involving cylindrical weights
• Hardy-Sobolev inequalities and hyperbolic symmetry
• Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator
• The existence of minimal immersions of 2-spheres
• Hardy-Sobolev extremals, hyperbolic symmetry and scalar curvature equations
• On existence of mimimizers for the Hardy-Sobolev-Maz'ya inequality
• Classification of solutions of a critical Hardy--Sobolev operator
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• On a semilinear elliptic equation in Hn
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• A global compactness result for singular elliptic problems involving critical Sobolev exponent
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