Hölder continuity conditions for the solvability of Dirichlet problems involving functionals with free discontinuities

DOI10.1016/S0294-1449(01)00077-4zbMath1001.49018OpenAlexW2001545756MaRDI QIDQ5953872

Sergio Solimini, F. A. Lops, Francesco Maddalena

Publication date: 15 December 2002

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2001__18_6_639_0

zbMATH Keywords

integral functionalDirichlet boundary value problemsfree discontinuities

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

A survey on the Blake-Zisserman functional ⋮ Free gradient discontinuity and image inpainting ⋮ Monotonicity and separation for the Mumford-Shah problem ⋮ Unnamed Item

Cites Work

• Existence theory for a new class of variational problems
• A variational method in image segmentation: Existence and approximation results
• Variational methods in image segmentation with 7 image processing experiments
• A new proof of the SBV compactness theorem
• Simplified excision techniques for free discontinuity problems in several variables
• Existence theorem for a minimum problem with free discontinuity set
• Uniform rectifiability and singular sets
• Optimal approximations by piecewise smooth functions and associated variational problems
• Existence theorem for a Dirichlet problem with free discontinuity set
• Lower semicontinuity properties of functionals with free discontinuities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hölder continuity conditions for the solvability of Dirichlet problems involving functionals with free discontinuities