Radial non-positive solutions for nonlinear equation \(\Delta u+| x| ^{\ell}| u| ^{p-1}u=0\) on the ball

DOI10.3792/pjaa.64.5zbMath0653.35029OpenAlexW2078493874MaRDI QIDQ1107719

Ken'ichi Nagasaki

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.5

zbMATH Keywords

existenceradial solutionsnonlinear boundary value problemnon-existenceunique

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• Symmetry and related properties via the maximum principle
• Quasilinear Dirichlet problems driven by positive sources
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Uniqueness of solutions of nonlinear Dirichlet problems