Nonlinear elliptic systems with Dini continuous coefficients
By Frank Duzaar, Andreas Gastel. 2002
58 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/4159b2eae2d20008ed6cb7ba93b27546b4be6477
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
- Frank Duzaar
- Verena Bogelein
- Jan Kristensen
- Paolo Baroni
- Christoph Scheven
- Sun-Sig Byun
- Tuomo Kuusi
In Computational Theory and Mathematics
- Giuseppe Mingione
- Frank Duzaar
- Verena Bogelein
- Jan Kristensen
- Paolo Baroni
- Christoph Scheven
- Sun-Sig Byun
- Tuomo Kuusi
Citations in the corpus
- Regularity of minima: An invitation to the dark side of the calculus of variations (2006, background): “Extensions to the case of systems with Dini continuous coefficients, both with respect to partial regularity, and to the singular sets dimension estimates, are also possible [91, 305, 93].”
- Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth (2005, methodology): “The technique has been successfully applied in the framework of geometric measure theory (see [18]), and to obtain partial-regularity results for general elliptic systems (see [16], [ 14 ], [25], [26], [27]).”
- Partial Hölder continuity for discontinuous elliptic problems with VMO‐coefficients (2011, methodology): “Here, for the case of systems we refer to the work of Giaquinta and Modica [13], Ivert [18], Duzaar and Grotowski [6], Duzaar and Gastel [5] and the references therein.”
- The Singular Set of Lipschitzian Minima of Multiple Integrals (2007, background): “Indeed, in such cases it is still possible to prove partial regularity of weak solutions/minimizers [11,13,12].”
- Gradient estimates for a class of parabolic systems (2007, background): “Note that any type of modulus of continuity is allowed (see [11]).”
- Harmonic type approximation lemmas (2009, methodology): “Eventually the lemma was applied for proving partial regularity of solutions to elliptic systems in [25,22], and of minimizers of quasiconvex integrals in [23,26,27]; it everywhere yielded optimal regularity results, allowing to avoid the use of heavy tools such as Gehring’s lemma [50].”