Bifurcation and symmetry breaking for the Henon equation

zbMath1320.35056arXiv1305.4019MaRDI QIDQ2016129

Francesca Gladiali, Anna Lisa Amadori

Publication date: 19 June 2014

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

Full work available at URL: https://arxiv.org/abs/1305.4019

zbMATH Keywords

Dirichlet boundary conditionsMorse indexglobal bifurcationnon-radial solution family

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Degree theory for nonlinear operators (47H11) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61)

Related Items

A nonradial bifurcation result with applications to supercritical problems, Separation of branches of \(O(N-1)\)-invariant solutions for a semilinear elliptic equation, Global bifurcation for the Hénon problem, Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli, On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II, On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's, Symmetry-breaking bifurcation for the Moore-Nehari differential equation, Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem, Nonradial solutions for the Hénon equation close to the threshold, The Hénon problem with large exponent in the disc, Numerical verification for asymmetric solutions of the Hénon equation on bounded domains, Morse index computation for radial solutions of the Hénon problem in the disk, Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation, The asymptotically linear Hénon problem, Nonradial sign changing solutions to Lane-Emden problem in an annulus