Multivalued elliptic operators with nonstandard growth
| Autor: | Avci Mustafa, Pankov Alexander |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Advances in Nonlinear Analysis, Vol 7, Iss 1, Pp 35-48 (2018) |
| Druh dokumentu: | article |
| ISSN: | 2191-9496 2191-950X |
| DOI: | 10.1515/anona-2016-0043 |
| Popis: | The paper is devoted to the Dirichlet problem for monotone, in general multivalued, elliptic equations with nonstandard growth condition. The growth conditions are more general than the well-known p(x){p(x)} growth. Moreover, we allow the presence of the so-called Lavrentiev phenomenon. As consequence, at least two types of variational settings of Dirichlet problem are available. We prove results on the existence of solutions in both of these settings. Then we obtain several results on the convergence of certain types of approximate solutions to an exact solution. |
| Databáze: | Directory of Open Access Journals |
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