Uniqueness for semilinear polyharmonic problems

DOI10.1016/0362-546X(95)00100-AzbMath0840.35031OpenAlexW2002727908MaRDI QIDQ4862151

Charles A. Swanson

Publication date: 7 March 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00100-a

zbMATH Keywords

Hardy inequalitiesuniqueness of positive radial solutionsbest constant for Sobolev embedding

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

Radial solutions of a polyharmonic equation with power nonlinearity ⋮ Global bifurcation results for a semilinear biharmonic equation on all of \(\mathbb{R}^N\) ⋮ Multiple and sign-changing solutions for a class of semilinear biharmonic equation ⋮ Unnamed Item ⋮ Existence result for a class of biharmonic equations with critical growth and singular potential in \(\mathbb R^N\)

Cites Work

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• Best constant in Sobolev inequality
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• Radial Entire Solutions of Even Order Semilinear Elliptic Equations
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• Critical semilinear biharmonic equations in R^N
• Nonoscillation and Eventual Disconjugacy
• 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities

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