Linear stability analysis of overdetermined problems with non-constant data

Boundary value problems for second-order elliptic equations (35J25) Perturbations in context of PDEs (35B20) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Cites Work

Unnamed Item
Dynamical approach to an overdetermined problem in potential theory
An overdetermined problem with non-constant boundary condition
Unbounded periodic solutions to Serrin's overdetermined boundary value problem
Bifurcating extremal domains for the first eigenvalue of the Laplacian
Hölder stability for Serrin's overdetermined problem
Serrin's overdetermined problem and constant mean curvature surfaces
On the stability of the Serrin problem
Serrin-type overdetermined problems: An alternative proof
Approximate radial symmetry for overdetermined boundary value problems
Elliptic partial differential equations of second order
Hyperbolic solutions to Bernoulli's free boundary problem
Nearly optimal stability for Serrin's problem and the soap bubble theorem
Geometric flows for quadrature identities
On the stability for Alexandrov's soap bubble theorem
New extremal domains for the first eigenvalue of the Laplacian in flat tori
Symmetries in an overdetermined problem for the Green's function
A symmetry problem in potential theory
Remark on the preceding paper of Serrin
Nontrivial solutions to Serrin's problem in annular domains
Linear stability estimates for Serrin's problem via a modified implicit function theorem
The one phase free boundary problem for the $p$-Laplacian with non-constant Bernoulli boundary condition
Delaunay type domains for an overdetermined elliptic problem inⁿ× ℝ and ℍⁿ× ℝ
A Bernoulli problem with non-constant gradient boundary constraint
Diversifications of Serrin's and related symmetry problems
Uniqueness and monotonicity of solutions for the interior bernoulli free boundary problem in the convex, n-dimensional case
Serrin's problem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities
Duality theorems in some overdetermined boundary value problems
Stability of Serrin's Problem and Dynamic Stability of a Model for Contact Angle Motion
Symmetry breaking bifurcations for two overdetermined boundary value problems with non-constant Neumann condition on exterior domains in R3
Local analysis of a two phase free boundary problem concerning mean curvature
On a two-phase Serrin-type problem and its numerical computation
On the symmetry in a heterogeneous overdetermined problem
Torsional rigidity, principal frequency, electrostatic capacity and symmetrization
Interpolating estimates with applications to some quantitative symmetry results

This page was built for publication: Linear stability analysis of overdetermined problems with non-constant data