On the existence of radial positive entire solutions for polyharmonic systems

DOI10.1016/j.jmaa.2006.03.012zbMath1106.31002OpenAlexW2050516164MaRDI QIDQ860955

Jiong Qi Wu

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.012

zbMATH Keywords

asymptotic behaviorfixed point theorempolyharmonic systemradial positive entire solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (5)

Bounded positive entire solutions of singular quasilinear elliptic equations ⋮ 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 ⋮ Positive entire solutions for singular \(p\)-Laplacian equations on \(\mathbb R^N\) with \(p \geq N \geq 2\)

Cites Work

• Existence and a priori estimates for positive solutions of \(p\)-Laplace systems
• Positive solutions of a class of second order semilinear elliptic equations in the plane
• Positive entire solutions to nonlinear biharmonic equations in the plane
• On positive radial entire solutions of second-order quasilinear elliptic systems.
• Existence of entire large positive solutions of semilinear elliptic systems
• Symmetry of ground states of quasilinear elliptic equations
• Existence and nonexistence of entire positive solutions of semilinear elliptic systems
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