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dc.contributor.author
Zeng, Shengda
dc.contributor.author
Migórski, Stanisław
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Tarzia, Domingo Alberto
dc.contributor.author
Zou, Lang
dc.contributor.author
Nguyen, Van Thien
dc.date.available
2023-11-03T12:54:45Z
dc.date.issued
2022-08
dc.identifier.citation
Zeng, Shengda; Migórski, Stanisław; Tarzia, Domingo Alberto; Zou, Lang; Nguyen, Van Thien; A class of elliptic mixed boundary value problems with (p, q)-Laplacian: existence, comparison and optimal control; Birkhauser Verlag Ag; Zeitschrift Fur Angewandte Mathematik Und Physik; 73; 4; 8-2022; 1-17
dc.identifier.issn
0044-2275
dc.identifier.uri
http://hdl.handle.net/11336/216924
dc.description.abstract
The paper deals with two nonlinear elliptic equations with (p, q)-Laplacian and the Dirichlet–Neumann–Dirichlet (DND) boundary conditions, and Dirichlet–Neumann–Neumann (DNN) boundary conditions, respectively. Under mild hypotheses, we prove the unique weak solvability of the elliptic mixed boundary value problems. Then, a comparison and a monotonicity results for the solutions of elliptic mixed boundary value problems are established. We examine a convergence result which shows that the solution of (DND) can be approached by the solution of (DNN). Moreover, two optimal control problems governed by (DND) and (DNN), respectively, are considered, and an existence result for optimal control problems is obtained. Finally, we provide a result on asymptotic behavior of optimal controls and system states, when a parameter tends to infinity.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Birkhauser Verlag Ag
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
(P, Q)-LAPLACIAN
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ASYMPTOTIC BEHAVIOR
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COMPARISON
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MIXED BOUNDARY VALUE PROBLEM
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OPTIMAL CONTROL
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SENSITIVITY
dc.subject.classification
Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A class of elliptic mixed boundary value problems with (p, q)-Laplacian: existence, comparison and optimal control
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-11-02T14:40:11Z
dc.journal.volume
73
dc.journal.number
4
dc.journal.pagination
1-17
dc.journal.pais
Suiza
dc.description.fil
Fil: Zeng, Shengda. Nanjing University; China
dc.description.fil
Fil: Migórski, Stanisław. Jagiellonian University in Krakow; Polonia
dc.description.fil
Fil: Tarzia, Domingo Alberto. Universidad Austral; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
dc.description.fil
Fil: Zou, Lang. Xiangtan University; China
dc.description.fil
Fil: Nguyen, Van Thien. No especifíca;
dc.journal.title
Zeitschrift Fur Angewandte Mathematik Und Physik
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00033-022-01789-7
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00033-022-01789-7
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