Pleijel nodal domain theorem in non-smooth setting
DOI10.1090/BTRAN/196MaRDI QIDQ6629497
Sara Farinelli, Ivan Yuri Violo, Nicolò De Ponti
Publication date: 30 October 2024
Published in: Transactions of the American Mathematical Society. Series B (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Cites Work
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- On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces
- Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
- The number of nodal domains on quantum graphs as a stability index of graph partitions
- Local Poincaré inequalities from stable curvature conditions on metric spaces
- Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm
- Extensions and traces of functions of bounded variation on metric spaces
- A geometric uncertainty principle with an application to Pleijel's estimate
- A new characterization of chord-arc domains
- Carleson type estimates for \(p\)-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces
- Dirichlet forms and symmetric Markov processes.
- Ricci curvature on Alexandrov spaces and rigidity theorems
- Nonlinear potential theory on metric spaces
- Moser iteration for (quasi)minimizers on metric spaces
- Functions of bounded variation on ``good metric spaces
- Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Uniform domains
- Uniform domains and the quasi-hyperbolic metric
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- Dirichlet forms and analysis on Wiener space
- Differentiability of Lipschitz functions on metric measure spaces
- On the structure of spaces with Ricci curvature bounded below. I
- Ein allgemeiner Satz zur Theorie der Eigenfunktionen selbstadjungierter Differentialausdrücke.
- A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
- On the structure of spaces with Ricci curvature bounded below. II
- Fine properties of sets of finite perimeter in doubling metric measure spaces
- On Courant's nodal domain property for linear combinations of eigenfunctions. I
- Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces
- A Pleijel-type theorem for the quantum harmonic oscillator
- Short-time behavior of the heat kernel and Weyl's law on \(\mathrm{RCD}^*(K,N)\) spaces
- Nodal domain theorems à la Courant
- Local and semilocal Poincaré inequalities on metric spaces
- Uniform, Sobolev extension and quasiconformal circle domains
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Indecomposable sets of finite perimeter in doubling metric measure spaces
- Polya-Szego inequality and Dirichlet \(p\)-spectral gap for non-smooth spaces with Ricci curvature bounded below
- Approximation by uniform domains in doubling quasiconvex metric spaces
- Indeterminacy estimates and the size of nodal sets in singular spaces
- Weakly non-collapsed RCD spaces are strongly non-collapsed
- Isoperimetric sets in spaces with lower bounds on the Ricci curvature
- Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances
- Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds
- Stability of eigenvalues and observable diameter in RCD\((1, \infty)\) spaces
- Courant's nodal domain theorem for positivity preserving forms
- New differential operator and noncollapsed RCD spaces
- Counting nodal domains in Riemannian manifolds
- Equivalent definitions of \(BV\) space and of total variation on metric measure spaces
- Weyl's law on \(RCD^{\ast} (K, N)\) metric measure spaces
- Lectures on nonsmooth differential geometry
- Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions
- Cheeger-harmonic functions in metric measure spaces revisited
- On the geometry of metric measure spaces. II
- Uniform boundary Harnack principle and generalized triangle property
- Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions
- Failure of strong unique continuation for harmonic functions on RCD spaces
- Alexandrov meets Lott-Villani-Sturm
- Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory
- On the differential structure of metric measure spaces and applications
- A Bishop-type inequality on metric measure spaces with Ricci curvature bounded below
- Transport inequalities, gradient estimates, entropy and Ricci curvature
- Remarks on courant's nodal line theorem
- Inégalités isopérimétriques et applications
- Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
- Pleijel’s nodal domain theorem for free membranes
- Definitions for uniform domains
- Uniform and Sobolev Extension Domains
- Injectivity theorems in plane and space
- A nodal domain property for the p-Laplacian
- Sobolev met Poincaré
- Non-collapsed spaces with Ricci curvature bounded from below
- Almost Euclidean Isoperimetric Inequalities in Spaces Satisfying Local Ricci Curvature Lower Bounds
- On Pleijel's Nodal Domain Theorem
- Upper bounds for Courant-sharp Neumann and Robin eigenvalues
- CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES
- Sphere theorems for RCD and stratified spaces
- Sobolev Spaces on Metric Measure Spaces
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Discrete nodal domain theorems
- Singular Weyl’s law with Ricci curvature bounded below
- First-order heat content asymptotics on \(\mathsf{RCD} (K, N)\) spaces
- Unique continuation problem on RCD spaces. I
- On Pleijel's nodal domain theorem for the Robin problem
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