Radial symmetry of \(n\)-mode positive solutions for semilinear elliptic equations in a disc and its application to the Hénon equation

DOI10.12775/TMNA.2014.016zbMATH Open1375.35204OpenAlexW2335952734MaRDI QIDQ519505

Naoki Shioji, Kohtaro Watanabe

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2014.016

zbMATH Keywords

semilinear elliptic equationspositive solutionsradial symmetryHénon equation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (3)

A note on nonradial nodal solutions to the Henon problem in the disc ⋮ Symmetry-breaking bifurcation for the one-dimensional Hénon equation ⋮ Symmetry of \(n\)-mode positive solutions for two-dimensional Hénon type systems

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