Positive entire solutions to nonlinear biharmonic equations in the plane

DOI10.1016/S0377-0427(97)00214-8zbMath0896.35043OpenAlexW1980359660MaRDI QIDQ1381721

Kusano Takaŝi, Yasuhiro Furusho

Publication date: 24 May 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00214-8

zbMATH Keywords

radially symmetric solutioninfinitely many positive solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30)

Related Items (5)

Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator ⋮ On the existence of radial positive entire solutions for polyharmonic systems ⋮ Multiplicity of positive radially symmetric solutions for a quasilinear biharmonic equation in the plane ⋮ Multiplicity of radially symmetric solutions for a \(p\)-harmonic equation in \(\mathbb R^N\) ⋮ Positive radial solutions for quasilinear biharmonic equations

Cites Work

• Unnamed Item
• On the Elliptic Equation Δu = φ(x) u γ in R 2
• Radial entire solutions to even order semilinear elliptic equations in the plane
• A supersolution-subsolution method for nonlinear biharmonic equations in $$\mathbb{R}^N $$

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