On the asymptotic behavior of radial entire solutions for the equation \((-\Delta)^{3}u=u^{p}\) in \(\mathbb R^{n}\)

DOI10.1016/j.jde.2017.11.036zbMath1383.35073OpenAlexW2771816163MaRDI QIDQ1690303

Nguyen Tien Tai

Publication date: 19 January 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.11.036

zbMATH Keywords

radial positive solutionstriharmonic equation

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Higher-order elliptic equations (35J30) Positive solutions to PDEs (35B09)

Related Items (1)

Representation formulae for nonhomogeneous differential operators and applications to PDEs

Cites Work

• Unnamed Item
• On the sixth-order Joseph-Lundgren exponent
• Entire solutions of an integral equation in \(R^5\)
• Radial entire solutions for supercritical biharmonic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• On the Cauchy Problem for Reaction-Diffusion Equations
• Refined asymptotics for entire solutions of a biharmonic equation with a supercritical nonlinearity

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