Radial entire solutions to even order semilinear elliptic equations in the plane

DOI10.1017/S0308210500022101zbMath0647.35030OpenAlexW2325563145MaRDI QIDQ3791552

Manabu Naito, Takasi Kusano, Charles A. Swanson

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022101

zbMATH Keywords

existencemultiplicityasymptoticsLaplacianSemilinearradial entire solutionsinfinitely many

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (10)

A local pointwise inequality for a biharmonic equation with negative exponents ⋮ Entire solutions of a class of even order quasilinear elliptic equations ⋮ Positive entire solutions to nonlinear biharmonic equations in the plane ⋮ Asymptotic behaviour of higher order semilinear equations ⋮ Positive solutions for biharmonic equations: existence, uniqueness and multiplicity ⋮ Uniqueness for semilinear polyharmonic problems ⋮ Positive solutions of biharmonic elliptic problems with a parameter ⋮ Radial entire solutions of a class of quasilinear elliptic equations ⋮ Unnamed Item ⋮ Global bifurcation results for a semilinear biharmonic equation on all of \(\mathbb{R}^N\)

Cites Work

• Unnamed Item
• Unnamed Item
• Ganze Lösungen der Differentialgleichung \(\Delta^p u = f(u)\)
• On the inequality \(\Delta u \geqq f (u)\)
• Zur Existenz ganzer Lösungen der Differentialgleichung \(\Delta^p u=e^u\)
• Positive solutions of a class of second order semilinear elliptic equations in the plane
• Singularities of elliptic equations with an exponential nonlinearity
• On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures
• Ganze Lösungen der Differentialgleichung \(\Delta u=e^u\)
• On solutions of δu=f(u)
• On a semilinear equation in ℝ²involving bounded measures
• Entire solutions of Δ^pu = f(r, u)

This page was built for publication: Radial entire solutions to even order semilinear elliptic equations in the plane