Dirichlet problems with unbalanced growth and convection
We consider a double phase Dirichlet problem with a gradient dependent reaction term (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a bounded strictly positive solution. Moreover, we show that the set of these solutions is compact in the correspondin...
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| Format: | Serial |
| Published: |
2022
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| Series: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Dirichlet probléma |
| Subjects: | |
| doi: | 10.14232/ejqtde.2022.1.41 |
| Online Access: | http://acta.bibl.u-szeged.hu/76542 |
| Summary: | We consider a double phase Dirichlet problem with a gradient dependent reaction term (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a bounded strictly positive solution. Moreover, we show that the set of these solutions is compact in the corresponding generalized Sobolev–Orlicz space. |
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| Physical Description: | 12 |
| ISSN: | 1417-3875 |