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dc.contributor.author
Ricarte, G. C.  
dc.contributor.author
Da Silva, Joao Vitor  
dc.contributor.author
Teymurazyan, R.  
dc.date.available
2018-09-17T21:42:51Z  
dc.date.issued
2017-02  
dc.identifier.citation
Ricarte, G. C.; Da Silva, Joao Vitor; Teymurazyan, R.; Cavity type problems ruled by infinity Laplacian operator; Academic Press Inc Elsevier Science; Journal Of Differential Equations; 262; 3; 2-2017; 2135-2157  
dc.identifier.issn
0022-0396  
dc.identifier.uri
http://hdl.handle.net/11336/60022  
dc.description.abstract
We study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschitz continuous, they grow as a linear function, are strongly non-degenerate and have porous level surfaces. Moreover, for some restricted cases we show the finiteness of the (n−1)-dimensional Hausdorff measure of level sets. The analysis of the asymptotic limits is carried out as well.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Hausdorff Measure  
dc.subject
Infinity Laplacian  
dc.subject
Lipschitz Regularity  
dc.subject
Singularly Perturbed Problems  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Cavity type problems ruled by infinity Laplacian operator  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-09-17T19:29:34Z  
dc.journal.volume
262  
dc.journal.number
3  
dc.journal.pagination
2135-2157  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Ricarte, G. C.. Universidade Estadual do Ceará; Brasil  
dc.description.fil
Fil: Da Silva, Joao Vitor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Teymurazyan, R.. Universidad de Coimbra; Portugal  
dc.journal.title
Journal Of Differential Equations  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022039616303783  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jde.2016.10.044  

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