Existence of a solution for a discontinuous problem involving the p-Laplacian operator
I this work, we study a quasilinear boundary value problem involving the p-Laplacian operator on a bounded domain with smooth boundary. Into this boundary value problem, we consider a real-valued function f discontinuous at a point a, a bounded function h, and a function q belonging to a suitable Le...
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| Médium: | bachelorThesis |
| Jazyk: | eng |
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2020
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| Témata: | |
| On-line přístup: | http://repositorio.yachaytech.edu.ec/handle/123456789/232 |
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Přidat tag | _version_ | 1859296788265041920 |
|---|---|
| author | Tallana Chimarro, Darwin Xavier |
| author_facet | Tallana Chimarro, Darwin Xavier |
| author_role | author |
| collection | Repositorio Universidad Yachay Tech |
| dc.contributor.none.fl_str_mv | Mayorga Zambrano, Juan Ricardo |
| dc.creator.none.fl_str_mv | Tallana Chimarro, Darwin Xavier |
| dc.date.none.fl_str_mv | 2020-11-04T09:39:20Z 2020-11-04T09:39:20Z 2020-09 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://repositorio.yachaytech.edu.ec/handle/123456789/232 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Universidad de Investigación de Tecnología Experimental Yachay |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositorio Universidad Yachay Tech instname:Universidad Yachay Tech instacron:Yachay |
| dc.subject.none.fl_str_mv | P-Laplacian Boundary Value Problem Discontinuity Generalized gradient Clave— P-Laplaciano Problema de valor de frontera Discontinuidad Gradiente Gen- Eralizado |
| dc.title.none.fl_str_mv | Existence of a solution for a discontinuous problem involving the p-Laplacian operator |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/bachelorThesis |
| description | I this work, we study a quasilinear boundary value problem involving the p-Laplacian operator on a bounded domain with smooth boundary. Into this boundary value problem, we consider a real-valued function f discontinuous at a point a, a bounded function h, and a function q belonging to a suitable Lebesgue space. Under certain conditions of growing on the function f and on the image of q, we give characterizations of the strong solutions of this problem. We also give sufficient conditions in order that points of local extremum become strongs solutions. A particular case of this boundary problem is considered as an application. |
| eu_rights_str_mv | openAccess |
| format | bachelorThesis |
| id | Yachay_3f9e9fa6b1b2fc3be0cbde5ca0d2b0b9 |
| instacron_str | Yachay |
| institution | Yachay |
| instname_str | Universidad Yachay Tech |
| language | eng |
| network_acronym_str | Yachay |
| network_name_str | Repositorio Universidad Yachay Tech |
| oai_identifier_str | oai:repositorio.yachaytech.edu.ec:123456789/232 |
| publishDate | 2020 |
| publisher.none.fl_str_mv | Universidad de Investigación de Tecnología Experimental Yachay |
| reponame_str | Repositorio Universidad Yachay Tech |
| repository.mail.fl_str_mv | . |
| repository.name.fl_str_mv | Repositorio Universidad Yachay Tech - Universidad Yachay Tech |
| repository_id_str | 10284 |
| spelling | Existence of a solution for a discontinuous problem involving the p-Laplacian operatorTallana Chimarro, Darwin XavierP-LaplacianBoundary Value ProblemDiscontinuityGeneralized gradientClave— P-LaplacianoProblema de valor de fronteraDiscontinuidadGradiente Gen- EralizadoI this work, we study a quasilinear boundary value problem involving the p-Laplacian operator on a bounded domain with smooth boundary. Into this boundary value problem, we consider a real-valued function f discontinuous at a point a, a bounded function h, and a function q belonging to a suitable Lebesgue space. Under certain conditions of growing on the function f and on the image of q, we give characterizations of the strong solutions of this problem. We also give sufficient conditions in order that points of local extremum become strongs solutions. A particular case of this boundary problem is considered as an application.En este trabajo, estudiamos un problema de valor de frontera cuasilineal asociado con el p-Laplaciano sobre un dominio acotado con frontera suave. En este problema de valor de frontera, consideramos una función real f discontinua en un punto a, una función acotada h, y una función q perteneciente a un espacio de Lebesgue adecuado. Bajo ciertas condiciones en el crecimiento de la función f y sobre la imagen de q, damos una caracterización de las soluciones fuertes de este problem. También damos condiciones suficientes para que puntos de extremos locales sean soluciones fuertes. Un caso particular de este problema de frontera es considerado como una aplicación.MATEMÁTICO/AUniversidad de Investigación de Tecnología Experimental YachayMayorga Zambrano, Juan Ricardo2020-11-04T09:39:20Z2020-11-04T09:39:20Z2020-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bachelorThesisapplication/pdfhttp://repositorio.yachaytech.edu.ec/handle/123456789/232enginfo:eu-repo/semantics/openAccessreponame:Repositorio Universidad Yachay Techinstname:Universidad Yachay Techinstacron:Yachay2025-07-08T17:51:22Zoai:repositorio.yachaytech.edu.ec:123456789/232Institucionalhttps://repositorio.yachaytech.edu.ec/Universidad públicahttps://www.yachaytech.edu.ec/https://repositorio.yachaytech.edu.ec/oaiEcuador...opendoar:102842025-07-08T17:51:22falseInstitucionalhttps://repositorio.yachaytech.edu.ec/Universidad públicahttps://www.yachaytech.edu.ec/https://repositorio.yachaytech.edu.ec/oai.Ecuador...opendoar:102842025-07-08T17:51:22Repositorio Universidad Yachay Tech - Universidad Yachay Techfalse |
| spellingShingle | Existence of a solution for a discontinuous problem involving the p-Laplacian operator Tallana Chimarro, Darwin Xavier P-Laplacian Boundary Value Problem Discontinuity Generalized gradient Clave— P-Laplaciano Problema de valor de frontera Discontinuidad Gradiente Gen- Eralizado |
| status_str | publishedVersion |
| title | Existence of a solution for a discontinuous problem involving the p-Laplacian operator |
| title_full | Existence of a solution for a discontinuous problem involving the p-Laplacian operator |
| title_fullStr | Existence of a solution for a discontinuous problem involving the p-Laplacian operator |
| title_full_unstemmed | Existence of a solution for a discontinuous problem involving the p-Laplacian operator |
| title_short | Existence of a solution for a discontinuous problem involving the p-Laplacian operator |
| title_sort | Existence of a solution for a discontinuous problem involving the p-Laplacian operator |
| topic | P-Laplacian Boundary Value Problem Discontinuity Generalized gradient Clave— P-Laplaciano Problema de valor de frontera Discontinuidad Gradiente Gen- Eralizado |
| url | http://repositorio.yachaytech.edu.ec/handle/123456789/232 |