Approximate nonradial solutions for the Lane-Emden problem in the ball

DOI10.1515/anona-2020-0191zbMath1473.35261OpenAlexW3190426573MaRDI QIDQ1983943

Borbála Fazekas, Filomena Pacella, Michael Plum

Publication date: 10 September 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0191

zbMATH Keywords

numerical resultsbifurcationLane-Emden equationsign changing solutionsDirichlet condiition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations (35J62)

Related Items (1)

Morse index computation for radial solutions of the Hénon problem in the disk

Cites Work

• Exact Morse index computation for nodal radial solutions of Lane-Emden problems
• Partial symmetry of least energy nodal solutions to some variational problems
• Symmetry and related properties via the maximum principle
• Real analyticity and non-degeneracy
• A Morse index formula for radial solutions of Lane-Emden problems
• Sobolev norms of radially symmetric oscillatory solutions for superlinear elliptic equations
• A note on additional properties of sign changing solutions to superlinear elliptic equations
• Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
• Sign-changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations
• Quasi-radial solutions for the Lane-Emden problem in the ball
• Lane Emden problems with large exponents and singular Liouville equations
• Symmetry of solutions to semilinear elliptic equations via Morse index
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Complex Analysis

This page was built for publication: Approximate nonradial solutions for the Lane-Emden problem in the ball