Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces
- Boundary value problems for second-order elliptic equations in divergence form, whose nonlinearity is governed by a convex function of non-necessarily power type, are considered. The global boundedness of their solutions is established under boundary conditions of Dirichlet, or Neumann, or Robin type. A decisive role in the results is played by optimal forms of Orlicz-Sobolev embeddings and boundary trace embeddings, which allow for critical growths of the coefficients.
| Author: | Giuseppina Barletta, Andrea Cianchi, Greta MarinoGND |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/102165 |
| ISSN: | 0944-2669OPAC |
| ISSN: | 1432-0835OPAC |
| Parent Title (English): | Calculus of Variations and Partial Differential Equations |
| Publisher: | Springer Science and Business Media LLC |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2023 |
| Release Date: | 2023/02/20 |
| Tag: | Applied Mathematics; Analysis |
| Volume: | 62 |
| Issue: | 2 |
| First Page: | 65 |
| DOI: | https://doi.org/10.1007/s00526-022-02393-3 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme |
