Local regularity results for solutions of linear elliptic equations with drift term
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G. R. Cirmi
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Michaela M. Porzio
Abstract
We study the local regularity of the solution u of the following nonlinear boundary value problem:
where Ω is a bounded open subset of
Funding statement: The authors are members of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). This paper was supported by FIR 2018 and Piano Triennale della Ricerca 2016-2018 (UNICT).
Acknowledgements
The authors are indebted to the anonymous reviewer who contributed to improve the original manuscript with helpful suggestions.
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- In memoriam Emmanuele DiBenedetto (1947–2021)
- Local regularity results for solutions of linear elliptic equations with drift term
- On the existence of non-flat profiles for a Bernoulli free boundary problem
- On the blow-up of GSBV functions under suitable geometric properties of the jump set
- Anisotropic liquid drop models
- Rigidity and trace properties of divergence-measure vector fields
Artikel in diesem Heft
- Frontmatter
- In memoriam Emmanuele DiBenedetto (1947–2021)
- Local regularity results for solutions of linear elliptic equations with drift term
- On the existence of non-flat profiles for a Bernoulli free boundary problem
- On the blow-up of GSBV functions under suitable geometric properties of the jump set
- Anisotropic liquid drop models
- Rigidity and trace properties of divergence-measure vector fields
