Radial solutions of a polyharmonic equation with power nonlinearity

DOI10.1016/j.na.2009.02.130zbMath1239.35047OpenAlexW1992439729MaRDI QIDQ425759

Monica Lazzo, Paul G. Schmidt

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.130

zbMATH Keywords

radial solutionsoscillatory solutionspolyharmonic equationlarge solutionsentire solutions

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

Oscillatory radial solutions for subcritical biharmonic equations ⋮ Classification of radial solutions for semilinear elliptic systems with nonlinear gradient terms ⋮ Periodic solutions and invariant manifolds for an even-order differential equation with power nonlinearity ⋮ Blow up oscillating solutions to some nonlinear fourth order differential equations ⋮ Asymptotic behavior of large radial solutions of a polyharmonic equation with superlinear growth ⋮ Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space ⋮ Existence and stability properties of entire solutions to the polyharmonic equation \((-\Delta)^{m}u=e^{u}\) for any \(m\geq 1\)

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