Nodal line structure of least energy nodal solutions for Lane-Emden problems
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Publication:1028081
DOI10.1016/j.crma.2009.04.023zbMath1177.35021OpenAlexW2077101504MaRDI QIDQ1028081
Christophe Troestler, Christopher Grumiau
Publication date: 30 June 2009
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2009.04.023
Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (3)
The nodal line of the second eigenfunction of the Robin Laplacian in \(\mathbb R^2\) can be closed ⋮ Nodal line structure of least energy nodal solutions for Lane-Emden problems ⋮ On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations
Cites Work
- Partial symmetry of least energy nodal solutions to some variational problems
- Nodal line structure of least energy nodal solutions for Lane-Emden problems
- Symmetry and related properties via the maximum principle
- On the nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^ 2\)
- A sign-changing solution for a superlinear Dirichlet problem
- Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains
- The nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^2\) can be closed
- Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
- Dual variational methods in critical point theory and applications
- Symmetry of solutions to semilinear elliptic equations via Morse index
- ASYMPTOTICS AND SYMMETRIES OF LEAST ENERGY NODAL SOLUTIONS OF LANE–EMDEN PROBLEMS WITH SLOW GROWTH
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