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Motreanu, V V (2010). Uniqueness results for a Dirichlet problem with variable exponent. Communications on Pure and Applied Analysis, 9(5):1399-1410.
We study the uniqueness of weak solutions for Dirichlet problems with variable exponent and non-standard growth conditions. First, we provide two uniqueness results under ellipticity type hypotheses. Next, we provide a uniqueness result when the operator driving the problem is in the form of the divergence of a monotone map. Finally, we derive a fourth uniqueness result under homogeneity type hypotheses, by means of a comparison result and approximation.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | September 2010 |
| Deposited On: | 15 Nov 2010 11:50 |
| Last Modified: | 04 Sep 2024 01:39 |
| Publisher: | American Institute of Mathematical Sciences |
| ISSN: | 1534-0392 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.3934/cpaa.2010.9.1399 |
Motreanu, V V