The overdetermined problem and lower bound estimate on the first nonzero Steklov eigenvalue of \(p\)-Laplacian
From MaRDI portal
Publication:2082711
DOI10.1007/s10231-022-01190-1zbMath1500.35182OpenAlexW4210707664MaRDI QIDQ2082711
Publication date: 4 October 2022
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-022-01190-1
Estimates of eigenvalues in context of PDEs (35P15) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Cites Work
- Unnamed Item
- Sharp eigenvalue bounds and minimal surfaces in the ball
- Sharp estimate on the first eigenvalue of the \(p\)-Laplacian
- An overdetermined problem for the anisotropic capacity
- Isoperimetry with upper mean curvature bounds and sharp stability estimates
- A Reilly inequality for the first Steklov eigenvalue
- Sharp bounds for the first non-zero Stekloff eigenvalues
- Hölder stability for Serrin's overdetermined problem
- A characteristic property of spheres
- On the stability of the Serrin problem
- On singular sets of local solutions to \(p\) -Laplace equations
- An isoperimetric inequality and the first Steklov eigenvalue
- The geometry of the first non-zero Stekloff eigenvalue
- Approximate radial symmetry for overdetermined boundary value problems
- A sharp quantitative version of Alexandrov's theorem via the method of moving planes
- A comparison theorem for the first non-zero Steklov eigenvalue
- Quantitative stability for hypersurfaces with almost constant curvature in space forms
- Nearly optimal stability for Serrin's problem and the soap bubble theorem
- The soap bubble theorem and a \(p \)-Laplacian overdetermined problem
- Serrin's type overdetermined problems in convex cones
- On the stability for Alexandrov's soap bubble theorem
- Remarks on an overdetermined boundary value problem
- Overdetermined problems with possibly degenerate ellipticity, a geometric approach
- Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound
- A symmetry problem in potential theory
- A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative
- Shape optimization for the Steklov problem in higher dimensions
- On the Shape of Compact Hypersurfaces with Almost-Constant Mean Curvature
- A general comparison theorem with applications to volume estimates for submanifolds
- Serrin's problem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities
- Elliptic Partial Differential Equations of Second Order
- Stability of Serrin's Problem and Dynamic Stability of a Model for Contact Angle Motion
- Wulff shape characterizations in overdetermined anisotropic elliptic problems
- A Symmetry Result Related to Some Overdetermined Boundary Value Problems
- Uniqueness theorems for surfaces in the large. I, II, III, IV, V
- Monotonicity and symmetry results for \(p\)-Laplace equations and applications
- Lower bound estimates for the first eigenvalue of the weighted \(p\)-Laplacian on smooth metric measure spaces
