Uniqueness and profile of positive solutions of a critical exponent problem with Hardy potential

DOI10.1016/j.jde.2013.03.002zbMath1286.35093OpenAlexW2065609132MaRDI QIDQ393035

Sanjiban Santra, Mythily Ramaswamy

Publication date: 15 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.jde.2013.03.002

zbMATH Keywords

asymptotic behavioruniquenesscritical exponentMorse indexHardy's inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

On singular equations with critical and supercritical exponents ⋮ Multiple symmetric results for quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in \(\mathbb{R}^N\) ⋮ Uniqueness of positive radial solutions to singular critical growth quasilinear elliptic equations ⋮ Singular elliptic equations with quadratic gradient term ⋮ Theoretical developments in the study of partial differential equations

Cites Work

• Unnamed Item
• Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth
• Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
• Proof of two conjectures of H. Brezis and L. A. Peletier
• Elliptic equations with nearly critical growth
• Classification of solutions of some nonlinear elliptic equations
• Weak eigenfunctions for the linearization of extremal elliptic problems
• The role played by space dimension in elliptic critical problems
• An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Multiplicity result for a singular elliptic equation with indefinite nonlinearity
• Ground states of a prescribed mean curvature equation
• Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Uniqueness Of Positive Solutions Of In A Ball
• Exact local behavior of positive solutions for a semilinear elliptic equation with Hardy term
• Nonexistence result for positive solutions of nonlinear elliptic degenerate problems
• Uniqueness of solutions of nonlinear Dirichlet problems

This page was built for publication: Uniqueness and profile of positive solutions of a critical exponent problem with Hardy potential