Solutions for a Nonlocal Elliptic System with General Growth
This manuscript explores the existence of solutions for a quasilinear nonlocal system that incorporates the p -Laplacian operator. The system considered arise in relevant applications including Population Dynamics, nuclear reactor dynamics, flow of fluids in a homogeneous isotropic rigid porous medi...
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| Veröffentlicht in: | Complex analysis and operator theory 2023-11, Vol.17 (8), Article 134 |
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| creator | Mbarki, Lamine Tavares, Leandro S. Sousa, J. Vanterler C. |
| description | This manuscript explores the existence of solutions for a quasilinear nonlocal system that incorporates the
p
-Laplacian operator. The system considered arise in relevant applications including Population Dynamics, nuclear reactor dynamics, flow of fluids in a homogeneous isotropic rigid porous medium, and vibration problems. The arguments presented in this manuscript rely on Schauder’s Fixed Point Theorem and sub-supersolutions. The obtained results complete some classical and recent results and allow to consider superlinear growth conditions in the nonlocal terms. |
| doi_str_mv | 10.1007/s11785-023-01444-7 |
| format | Article |
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-Laplacian operator. The system considered arise in relevant applications including Population Dynamics, nuclear reactor dynamics, flow of fluids in a homogeneous isotropic rigid porous medium, and vibration problems. The arguments presented in this manuscript rely on Schauder’s Fixed Point Theorem and sub-supersolutions. The obtained results complete some classical and recent results and allow to consider superlinear growth conditions in the nonlocal terms.</description><identifier>ISSN: 1661-8254</identifier><identifier>EISSN: 1661-8262</identifier><identifier>DOI: 10.1007/s11785-023-01444-7</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Fixed points (mathematics) ; Fluid flow ; Mathematics ; Mathematics and Statistics ; Nuclear reactors ; Operator Theory ; Porous media</subject><ispartof>Complex analysis and operator theory, 2023-11, Vol.17 (8), Article 134</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-90e584571fbab1f67deff636a89c5a86f2a535630c3eaf01a6f2e86d265de7423</citedby><cites>FETCH-LOGICAL-c319t-90e584571fbab1f67deff636a89c5a86f2a535630c3eaf01a6f2e86d265de7423</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11785-023-01444-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11785-023-01444-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Mbarki, Lamine</creatorcontrib><creatorcontrib>Tavares, Leandro S.</creatorcontrib><creatorcontrib>Sousa, J. Vanterler C.</creatorcontrib><title>Solutions for a Nonlocal Elliptic System with General Growth</title><title>Complex analysis and operator theory</title><addtitle>Complex Anal. Oper. Theory</addtitle><description>This manuscript explores the existence of solutions for a quasilinear nonlocal system that incorporates the
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| ispartof | Complex analysis and operator theory, 2023-11, Vol.17 (8), Article 134 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Analysis Fixed points (mathematics) Fluid flow Mathematics Mathematics and Statistics Nuclear reactors Operator Theory Porous media |
| title | Solutions for a Nonlocal Elliptic System with General Growth |
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