Stability for entire radial solutions to the biharmonic equation with negative exponents

DOI10.1016/j.crma.2018.05.001zbMath1397.35111OpenAlexW2803112415MaRDI QIDQ1636153

Feng Zhou, Xia Huang, Dong Ye

Publication date: 4 June 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.05.001

zbMATH Keywords

stabilitybiharmonic operatorentire radial solutions

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Entire solutions to PDEs (35B08) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

A critical \(p\)-biharmonic system with negative exponents ⋮ Recent progress on stable and finite Morse index solutions of semilinear elliptic equations

Cites Work

• Unnamed Item
• Rellich inequalities with weights
• A note on nonlinear biharmonic equations with negative exponents
• Multiplicity of solutions for a fourth order equation with power-type nonlinearity
• The regularity and stability of solutions to semilinear fourth-order elliptic problems with negative exponents
• Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems
• Liouville theorems for stable radial solutions for the biharmonic operator
• Radial Entire Solutions of Even Order Semilinear Elliptic Equations

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