Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
By Paolo Marcellini. Journal of Mathematical Analysis and Applications, 2020
137 citations recorded by the source corpus.
Abstract We describe some aspects of the process/approach to interior regularity of weak solutions to a class of nonlinear elliptic equations in divergence form, as well as of minimizers of integrals of the calculus of variations. In particular with respect to the growth conditions we emphasize some differences between solving equations and minimizing energy integrals, and also between x−dependence or x−independence.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/73368b4c97a0d8443ebd187740b5bfefc5751ae4
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In Applied Mathematics
- Vicentiu D. Rădulescu
- Giuseppe Mingione
- Patrick Winkert
- P. Hasto
- Cristiana De Filippis
- Dušan D. Repovš
- Frank Duzaar
- Jihoon Ok
In Computational Theory and Mathematics
- Vicentiu D. Rădulescu
- Giuseppe Mingione
- Patrick Winkert
- P. Hasto
- Cristiana De Filippis
- Dušan D. Repovš
- Frank Duzaar
- Leszek Gasinski
In Mathematical Physics
- Vicentiu D. Rădulescu
- Giuseppe Mingione
- Patrick Winkert
- Tuomo Kuusi
- Paolo Baroni
- Frank Duzaar
- Leszek Gasinski
- Cristiana De Filippis
Citations in the corpus
- Recent developments in problems with nonstandard growth and nonuniform ellipticity (2021, background): “An overview of some of the latest results in the theory can already be found in Marcellini’s contribution included here [170].”