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https://hdl.handle.net/10356/98608| Title: | On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters | Authors: | Afrouzi, Ghasem Alizadeh Shakeri, Saleh Chung, Nguyen Thanh |
Keywords: | DRNTU::Science::Mathematics::Applied mathematics DRNTU::Science::Physics |
Issue Date: | 2013 | Source: | Afrouzi, G. A., Shakeri, S., & Chung, N. T. (2013). On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters. UPB scientific bulletin, series A : applied mathematics and physics, 75(4), 153-164. | Series/Report no.: | UPB scientific bulletin, series A : applied mathematics and physics | Abstract: | In this article, we consider the system of differential equations (equations presented) where Ω ⊃ RN is a bounded domain with C2 boundary δΩ, 1< p(x)εC1 (Ω̄) is a function. The operator (equations presented) is called p(x) -Laplacian, λ,λ1,λ2,μ1 and μ2 are positive parameters. We prove the existence of positive solutions when (equations presented) via sub-supersolutions without assuming sign conditions on f (0), g(0), h(0) or τ (0) . | URI: | https://hdl.handle.net/10356/98608 http://hdl.handle.net/10220/24044 |
URL: | http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full248_490710.pdf | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2013 Scientific Bulletin of UPB. This paper was published in UPB Scientific Bulletin, Series A: Applied Mathematics and Physics and is made available as an electronic reprint (preprint) with permission of Scientific Bulletin of UPB. The paper can be found at the following official URL: [http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full248_490710.pdf]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
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