Exact Morse index computation for nodal radial solutions of Lane-Emden problems

DOI10.1007/s00208-016-1381-6zbMath1379.35132arXiv1507.01360OpenAlexW3098689621MaRDI QIDQ514346

Isabella Ianni, Filomena Pacella, Francesca De Marchis

Publication date: 1 March 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01360

zbMATH Keywords

Lane-Emden equationleast energy sign-changing radial solution

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (17)

Global bifurcation for the Hénon problem ⋮ A Morse index formula for radial solutions of Lane-Emden problems ⋮ 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 ⋮ Qualitative analysis to an eigenvalue problem of the Hénon equation ⋮ On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's ⋮ \(L^{\infty}\)-norm and energy quantization for the planar Lane-Emden problem with large exponent ⋮ Sharp asymptotic behavior of radial solutions of some planar semilinear elliptic problems ⋮ Approximate nonradial solutions for the Lane-Emden problem in the ball ⋮ Quasi-radial solutions for the Lane-Emden problem in the ball ⋮ Exact Morse index computation for nodal radial solutions of Lane-Emden problems ⋮ Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem ⋮ The Hénon problem with large exponent in the disc ⋮ Morse index computation for radial solutions of the Hénon problem in the disk ⋮ Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains ⋮ Monotonicity of the Morse index of radial solutions of the Hénon equation in dimension two ⋮ Morse Index of Multiple Blow-up Solutions to the Two-Dimensional Sinh-Poisson Equation

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