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dc.creatorBarrios, B.-
dc.creatordel Pezzo, Leandro Martin-
dc.creatorGarcia Melian, Jorge-
dc.creatorQuaas, A.-
dc.date2018-09-18T19:56:17Z-
dc.date2018-09-18T19:56:17Z-
dc.date2017-04-
dc.date2018-09-17T19:27:06Z-
dc.date.accessioned2019-04-29T15:50:22Z-
dc.date.available2019-04-29T15:50:22Z-
dc.date.issued2017-04-
dc.identifierBarrios, B.; del Pezzo, Leandro Martin; Garcia Melian, Jorge; Quaas, A.; Monotonicity of solutions for some nonlocal elliptic problems in half-spaces ; Springer; Calculus Of Variations And Partial Differential Equations; 56; 2; 4-2017; 1-16-
dc.identifier0944-2669-
dc.identifierhttp://hdl.handle.net/11336/60138-
dc.identifier1432-0835-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/303394-
dc.descriptionIn this paper we consider classical solutions u of the semilinear fractional problem (- Δ) su= f(u) in R+N with u= 0 in RNR+N, where (- Δ) s, 0 < s< 1 , stands for the fractional laplacian, N≥ 2 , R+N={x=(x′,xN)∈RN:xN>0} is the half-space and f∈ C1 is a given function. With no additional restriction on the function f, we show that bounded, nonnegative, nontrivial classical solutions are indeed positive in R+N and verify (Formula presented.). This is in contrast with previously known results for the local case s= 1 , where nonnegative solutions which are not positive do exist and the monotonicity property above is not known to hold in general even for positive solutions when f(0) < 0.-
dc.descriptionFil: Barrios, B.. Universidad de La Laguna; España-
dc.descriptionFil: del Pezzo, Leandro Martin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina-
dc.descriptionFil: Garcia Melian, Jorge. Universidad de La Laguna; España-
dc.descriptionFil: Quaas, A.. Universidad Técnica Federico Santa María; Chile-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherSpringer-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00526-017-1133-9-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00526-017-1133-9-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1606.01061-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subject35S15-
dc.subject45M20-
dc.subject47G10-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleMonotonicity of solutions for some nonlocal elliptic problems in half-spaces-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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