Non-radial least energy solutions of the generalized Hénon equation

DOI10.1016/j.jde.2011.08.032zbMath1233.35080OpenAlexW2040311162MaRDI QIDQ652512

Ryuji Kajikiya

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.08.032

zbMATH Keywords

positive solutionvariational methodleast energy solutionHénon equationnon-radial solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items (13)

Nonradial least energy solutions of the \(p\)-Laplace elliptic equations ⋮ Morse index and symmetry-breaking for positive solutions of one-dimensional Hénon type equations ⋮ Least energy solutions of the generalized Hénon equation in reflectionally symmetric or point symmetric domains ⋮ Symmetry-breaking bifurcation for the one-dimensional Hénon equation ⋮ Symmetry-breaking bifurcation for the Moore-Nehari differential equation ⋮ Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space ⋮ Existence of nodal solutions for the sublinear Moore-Nehari differential equation ⋮ Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains ⋮ Three positive solutions of the one-dimensional generalized Hénon equation ⋮ Non-even positive solutions of the one-dimensional \(p\)-Laplace Emden-Fowler equation ⋮ Symmetric results of a Hénon type elliptic equation ⋮ Nonradial positive solutions of the p-Laplace Emden-Fowler equation with sign-changing weight ⋮ Symmetric results of a Hénon-type elliptic system with coupled linear part

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