Topological monsters in elliptic equations and spectral theory
From MaRDI portal
Publication:726760
DOI10.4171/EMSS/15zbMath1350.35009OpenAlexW2406299997MaRDI QIDQ726760
Daniel Peralta-Salas, Alberto Enciso
Publication date: 14 July 2016
Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/emss/15
General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Laplace operators with eigenfunctions whose nodal set is a knot
- Bounded solutions to the Allen-Cahn equation with level sets of any compact topology
- Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in \(\mathbb{R}^3\)
- Nodal sets for solutions of elliptic equations
- On De Giorgi's conjecture in dimension \(N\geq 9\)
- Knots and links in steady solutions of the Euler equation
- Saddle-shaped solutions of bistable diffusion equations in all of \(\mathbb R^{2m}\)
- Eigenfunctions with prescribed nodal sets
- Sur la multiplicité de la première valeur propre non nulle du Laplacien. (On the multiplicity of the first nonzero eigenvalue of the Laplacian)
- Nodal sets of eigenfunctions on Riemannian manifolds
- Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume)
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- On the nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^ 2\)
- On a conjecture of De Giorgi and some related problems
- Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains
- Critical points of Green's functions on complete manifolds
- Existence of knotted vortex tubes in steady Euler flows
- Critical points and geometric properties of Green's functions on open surfaces
- Regularity of flat level sets in phase transitions
- Submanifolds that are level sets of solutions to a second-order elliptic PDE
- The topology of pseudo-harmonic functions
- Symmetric Green's Functions on Complete Manifolds
- Construction de laplaciens dont une partie finie du spectre est donnée
- Approximation by Solutions of Partial Differential Equations
- Generic Properties of Eigenfunctions
- Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
- Closed Nodal Lines and Interior Hot Spots of the Second Eigenfunctions of the Laplacian on Surfaces
- On De Giorgi’s conjecture and beyond
- The Level Curves of Harmonic Functions
- Topology of Level Curves of Harmonic Functions
- The Topology of the Level Curves of Harmonic Functions with Critical Points
This page was built for publication: Topological monsters in elliptic equations and spectral theory
