Existence of non-radially symmetric viscosity solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in the plane. I

DOI10.1016/J.JMAA.2008.04.047zbMath1147.35044OpenAlexW2170099521MaRDI QIDQ932345

Naoki Yamada, Kenji Maruo

Publication date: 10 July 2008

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.2008.04.047

zbMATH Keywords

viscosity solutionLaplace-Beltrami operatorsemilinear elliptic equationdegenerate elliptic equationnon-radially symmetric solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

Cites Work

• Positive solutions of quasilinear elliptic equations in exterior domains
• Periodic solutions of 𝑥”+𝑐𝑥’+𝑔(𝑥)=𝜖𝑓(𝑡)
• Radial viscosity solutions of the Dirichlet problem for semilinear degenerate elliptic equations
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