Dirichlet problems with unbalanced growth and convection

Liu Zhenhai and Papageorgiou Nikolaos S.: Dirichlet problems with unbalanced growth and convection. (2022)

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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.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 41
ISSN: 1417-3875
Number of Pages: 12
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2022.1.41
Uncontrolled Keywords: Dirichlet probléma
Additional Information: Bibliogr.: p. 10-12. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2022. Sep. 09. 07:52
Last Modified: 2022. Nov. 08. 08:32
URI: http://acta.bibl.u-szeged.hu/id/eprint/76542

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