The eigenvalue problem and infinitely many sign-changing solutions for an elliptic equation with critical Hardy constant

DOI10.1016/j.jmaa.2016.10.022zbMath1364.35216OpenAlexW2532952955MaRDI QIDQ335425

Shuying Tian

Publication date: 2 November 2016

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.2016.10.022

zbMATH Keywords

critical Hardy constantinfinitely many sign-changing solutionslower bounds of eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (2)

Existence and multiplicity of positive solutions for a perturbed semilinear elliptic equation with two Hardy-Sobolev critical exponents ⋮ Existence and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy-Sobolev critical exponent

Cites Work

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• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• On the Schrödinger equation and the eigenvalue problem
• Lower bounds of Dirichlet eigenvalues for some degenerate elliptic operators
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Optimizing improved Hardy inequalities
• Infinitely many solutions to perturbed elliptic equations
• Variational Methods

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