Asymptotic behaviour of higher order semilinear equations

DOI10.1016/0362-546X(90)90011-5zbMath0711.35050OpenAlexW2071686103MaRDI QIDQ3496621

Allan L. Edelson, Ramin Vakillan

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90011-5

zbMATH Keywords

positive entire solutionssemilinear polyharmonic equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) Fundamental solutions to PDEs (35A08) Fixed-point theorems (47H10) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (4)

Asymptotic behaviour of finite energy solutions of polyharmonic equations ⋮ Uniqueness for semilinear polyharmonic problems ⋮ Asymptotic behavior of solutions of polyharmonic semilinear equations—II ⋮ A general method for quasilinear elliptic problems in \(R^ N\)

Cites Work

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• Positive entire solutions of semilinear biharmonic equations
• Entire solutions of a class of even order quasilinear elliptic equations
• Positive solutions of quasilinear elliptic equations in exterior domains
• Entire solutions of singular elliptic equations
• Asymptotic Properties of Semilinear Equations
• Radial entire solutions to even order semilinear elliptic equations in the plane
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Entire solutions of Δ^pu = f(r, u)

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