Some qualitative properties for the quadrature surfaces problem in the plane

DOI10.1007/s40590-023-00515-1zbMath1519.35093MaRDI QIDQ6168176

Samira Khatmi, Mohammed Barkatou

Publication date: 10 July 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorquadrature surfaces problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Maximum principles in context of PDEs (35B50)

Cites Work

• Symmetry and related properties via the maximum principle
• 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
• A symmetry problem in potential theory
• Necessary and Sufficient Condition of Existence for the Quadrature Surfaces Free Boundary Problem
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