Energy stability for a class of semilinear elliptic problems
From MaRDI portal
Publication:6144586
DOI10.1007/s12220-023-01525-1arXiv2307.07345MaRDI QIDQ6144586
Danilo Gregorin Afonso, Alessandro Iacopetti, Filomena Pacella
Publication date: 29 January 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.07345
Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61)
Cites Work
- Unnamed Item
- \(L^{1,p}\)-coercitivity and estimates of the Green function of the Neumann problem in a convex domain
- Characterization of isoperimetric sets inside almost-convex cones
- Sharp isoperimetric inequalities via the ABP method
- Unbounded periodic solutions to Serrin's overdetermined boundary value problem
- Overdetermined problems and constant mean curvature surfaces in cones
- Symmetry and related properties via the maximum principle
- Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
- A Morse index formula for radial solutions of Lane-Emden problems
- Shape variation and optimization. A geometrical analysis
- A sharp stability result for the relative isoperimetric inequality inside convex cones
- Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones
- On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's
- Isoperimetric cones and minimal solutions of partial overdetermined problems
- A symmetry problem in potential theory
- Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
- Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
- Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones
- On the Hardy–Sobolev equation
- Complex Analysis
- Isoperimetric Inequalities for Convex Cones
This page was built for publication: Energy stability for a class of semilinear elliptic problems
