Regularity of Minimizers of some Variational Integrals with Discontinuity
By M. Alessandra Ragusa, A. Tachikawa. 2008
55 citations recorded by the source corpus.
We prove regularity properties in the vector valued case for minimizers of variational integrals of the form $$A(u) = \int_\Omega A(x,u,Du) dx$$ where the integrand $A(x,u,Du)$ is not necessarily continuous respect to the variable $x,$ grows polinomially like $|\xi|^p,$ $p \geq 2.$
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/c359a05a11483fce9f551fcdc7ce02957e5d8c84
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In Applied Mathematics
- Verena Bogelein
- Christoph Scheven
- Frank Duzaar
- J. Habermann
- Giuseppe Mingione
- Paolo Baroni
- Thomas Schmidt
- Tuomo Kuusi
In Computational Theory and Mathematics
- Verena Bogelein
- Christoph Scheven
- Frank Duzaar
- J. Habermann
- Giuseppe Mingione
- Paolo Baroni
- Thomas Schmidt
- Jan Kristensen
Citations in the corpus
- Partial Hölder continuity for discontinuous elliptic problems with VMO‐coefficients (2011, methodology): “General functionals with VMO-coefficients were considered by Ragusa and Tachikawa [21], who generalized the low-dimensional results mentioned above from problems with continuous coefficients to the case of VMO-coefficients.”