Radially symmetric solutions of \(\Delta w + |w|^{p-1}w = 0\)

DOI10.1155/2012/296591zbMath1269.34056OpenAlexW1987477170WikidataQ58702758 ScholiaQ58702758MaRDI QIDQ1953669

Edward P. Krisner, William C. Troy

Publication date: 10 June 2013

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

Full work available at URL: https://doi.org/10.1155/2012/296591

zbMATH Keywords

asymptotic behaviorpositive singular solutionscontinuum of sign-changing singular solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Second-order elliptic equations (35J15) Growth and boundedness of solutions to ordinary differential equations (34C11) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Asymptotic properties of solutions to ordinary differential equations (34D05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (1)

Perturbations of planar quasilinear differential systems

Cites Work

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• Positive and oscillatory radial solutions of semilinear elliptic equations
• Global existence and blow-up of solutions for a semilinear parabolic system
• Uniform blow-up estimates for nonlinear heat equations and applications
• Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state
• Radial entire solutions for supercritical biharmonic equations
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• On the Cauchy Problem for Reaction-Diffusion Equations
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions

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