An existence result for a quadrature surface free boundary problem

DOI10.2478/BF02475654zbMath1207.35106OpenAlexW2093778531MaRDI QIDQ1767430

Diaraf Seck, Mohammed Barkatou, Idrissa Ly

Publication date: 11 March 2005

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/bf02475654

zbMATH Keywords

Dirichlet problemoptimality conditionsNeumann problemquadrature surfacemaximum principle, shape optimization

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

An existence result for an interior electromagnetic casting problem ⋮ Existence and Symmetry results for some overdetermined free boundary problems ⋮ Some qualitative properties for the quadrature surfaces problem in the plane ⋮ A Riemannian Point of View for a Quadrature Surface Free Boundary Problem ⋮ An existence result for a quadrature surface free boundary problem

Cites Work

• Symmetry and related properties via the maximum principle
• On the existence of a solution in a domain identification problem
• Subsolutions and supersolutions in a free boundary problem
• An existence result for a quadrature surface free boundary problem
• Quadrature surfaces as free boundaries
• Some geometric properties for a class of non-Lipschitz domains
• \(N\)-dimensional shape optimization under capacitary constraint
• A symmetry problem in potential theory
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• On The Dirichletproblem for Quasilinear Equations
• Boundary regularity for solutions of degenerate elliptic equations
• Shape optimisation problems governed by nonlinear state equations
• Minimum Problems over Sets of Concave Functions and Related Questions
• On the solvability and stability of the Dirichlet problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An existence result for a quadrature surface free boundary problem