Shape optimization and free boundary problem: the case of the \(p\)-Laplacian

DOI10.5802/afst.1045zbMath1050.35153OpenAlexW2328104360MaRDI QIDQ1432085

Diaraf Seck, Idrissa Ly

Publication date: 14 June 2004

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2003_6_12_1_103_0

zbMATH Keywords

monotonicityexistenceLagrange multiplieruniquenessshape optimization\(p\)-Laplace operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)

Related Items

On an isoperimetric inequality and various methods for the Bernoulli's free boundary problems

Cites Work

• Regularity for a more general class of quasilinear equations
• On the existence of a solution in a domain identification problem
• Introduction à la théorie des points critiques et applications aux problèmes elliptiques
• Subsolutions and supersolutions in a free boundary problem
• \(N\)-dimensional shape optimization under capacitary constraint
• Étude d'un problème à frontière libre pour le -Laplacien
• 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
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale
• Existence of classical solutions to a free boundary problem for the p-Laplace operator: (I) the exterior convex case
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item