Existence and uniqueness of elliptic systems with double phase operators and convection terms
- In this paper we study quasilinear elliptic systems driven by so-called double phase operators and nonlinear right-hand sides depending on the gradients of the solutions. Based on the surjectivity result for pseudomonotone operators we prove the existence of at least one weak solution of such systems. Furthermore, under some additional conditions on the data, the uniqueness of weak solutions is shown.
| Author: | Greta MarinoGND, Patrick Winkert |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/101957 |
| ISSN: | 0022-247XOPAC |
| Parent Title (English): | Journal of Mathematical Analysis and Applications |
| Publisher: | Elsevier BV |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2020 |
| Release Date: | 2023/02/14 |
| Tag: | Applied Mathematics; Analysis |
| Volume: | 492 |
| Issue: | 1 |
| First Page: | 124423 |
| DOI: | https://doi.org/10.1016/j.jmaa.2020.124423 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme |
