A regularity result for minimal configurations of a free interface problem

DOI10.1007/s40574-021-00285-6zbMath1471.49025OpenAlexW3153896420MaRDI QIDQ2051034

Lorenzo Lamberti

Publication date: 1 September 2021

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-021-00285-6

zbMATH Keywords

regularityfree boundary problemnonlinear variational problemperimeter penalization

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60)

Related Items (2)

Regularity results for an optimal design problem with lower order terms ⋮ Regularity results for a free interface problem with Hölder coefficients

Cites Work

• Partial regularity of minimizers of quasiconvex integrals
• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Partial regularity for optimal design problems involving both bulk and surface energies
• Variational problems with free interfaces
• An optimal design problem with perimeter penalization
• Regularity of components in optimal design problems with perimeter penalization.
• Existence theorem for a minimum problem with free discontinuity set
• Density lower bound estimate for local minimizer of free interface problem with volume constraint
• A note on the dimension of the singular set in free interface problems.
• Sets of Finite Perimeter and Geometric Variational Problems
• On Lower Semicontinuity of Integral Functionals. I
• Regularity results for an optimal design problem with a volume constraint
• Regularity properties of free discontinuity sets
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