Global gradient estimates in elliptic problems under minimal data and domain regularity
By Andrea Cianchi, Vladimir G. Maz'ya. 2014
50 citations recorded by the source corpus.
This is a survey of some recent contributions by the authors on global integrability properties of the gradient of solutions to boundary value problems for nonlinear elliptic equations in divergence form. Minimal assumptions on the regularity of the ground domain and of the prescribed data are pursued.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/07337a9eba701ba5b349d30fdba33688dd42c355
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
- Cristiana De Filippis
- Giuseppe Mingione
- Vicentiu D. Rădulescu
- Patrick Winkert
- Frank Duzaar
- Paolo Baroni
- Verena Bogelein
- Jan Kristensen
In Computational Theory and Mathematics
- Cristiana De Filippis
- Giuseppe Mingione
- Patrick Winkert
- Vicentiu D. Rădulescu
- Frank Duzaar
- Jan Kristensen
- Verena Bogelein
- Paolo Baroni
In Mathematical Physics
- Cristiana De Filippis
- Giuseppe Mingione
- Vicentiu D. Rădulescu
- Patrick Winkert
- Tuomo Kuusi
- Paolo Baroni
- Frank Duzaar
- N. Phuc
Citations in the corpus
- Lipschitz Bounds and Nonautonomous Integrals (2020, background): “ above theorem extends to general equations [46] and to systems depending on forms [65]; it also extends classical results of Uhlenbeck [69] and Uraltseva [70]; we again refer to Cianchi & Maz’ya [18,19,21] for global statements. The terminology is motivated by the fact that, for c(·) ≡ 1 and p=”