Partial continuity for elliptic problems
By Mikil Foss, Giuseppe Mingione. 2008
75 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/88d024937c74eac88a00f0ea1121c02e2a280e6f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Giuseppe Mingione
- Verena Bogelein
- Frank Duzaar
- Antonia Passarelli di Napoli
- Jan Kristensen
- Thomas Schmidt
- Paolo Baroni
- Christoph Scheven
In Computational Mechanics
- Antonia Passarelli di Napoli
- Frank Duzaar
- Jan Kristensen
- Verena Bogelein
- Giuseppe Mingione
- Thomas Schmidt
- Franz Gmeineder
- Christoph Scheven
In Computational Theory and Mathematics
- Giuseppe Mingione
- Verena Bogelein
- Frank Duzaar
- Jan Kristensen
- Antonia Passarelli di Napoli
- Thomas Schmidt
- Paolo Baroni
- Christoph Scheven
Citations in the corpus
- Partial Hölder continuity for discontinuous elliptic problems with VMO‐coefficients (2011, methodology): “Results related to the work of Foss and Mingione [9] were also obtained at the boundary for a Dirichlet boundary condition by Beck [1] and for problems with a non-standard growth condition of p(x)-type by Habermann [17].”
- Partial Regularity for BV Minimizers (2018, methodology): “Partial regularity in the general subquadratic case was established by CAROZZA, FUSCO & MINGIONE in [19], and many interesting extensions have followed since then, these include [2, 3, 21, 33, 35, 23, 26, 28, 27, 44, 45, 66].”
- Harmonic type approximation lemmas (2009, methodology): “Applications to partial regularity We end this section with the main partial regularity results from [25,37], whose proofs are based on the application of the A-harmonic approximation lemma as outlined before the statement of Lemma 2.”
- Higher differentiability of minimizers of variational integrals with Sobolev coefficients (2012, background): “In particular, in [17] (see also [13, 14]), a partial C regularity result has been established relaxing the assumption (1.”
- Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure (2009, background): “If f is a regular C∞-integrand, then there is a well-developed existence and regularity theory for the minimization problem: Precisely, minimizers u of F exist in the Sobolev space W 1,p( ,RN ) and are C∞ outside a negligible set S; see [1, 2, 5–8, 11, 16, 19, 21, 24, 25, 27, 32].”