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dc.contributor.authorIndrei, Emanuel
dc.contributor.authorMinne, Andreas
dc.contributor.authorNurbekyan, Levon
dc.date.accessioned2016-07-21T10:13:03Z
dc.date.available2016-07-21T10:13:03Z
dc.date.issued2016-07-08
dc.identifier.citationRegularity of solutions in semilinear elliptic theory 2016 Bulletin of Mathematical Sciences
dc.identifier.issn1664-3607
dc.identifier.issn1664-3615
dc.identifier.doi10.1007/s13373-016-0088-z
dc.identifier.urihttp://hdl.handle.net/10754/617289
dc.description.abstractWe study the semilinear Poisson equation Δu=f(x,u)inB1. (1) Our main results provide conditions on f which ensure that weak solutions of (1) belong to C1,1(B1/2). In some configurations, the conditions are sharp.
dc.description.sponsorshipWe thank Henrik Shahgholian for introducing us to the regularity problem for semilinear equations. Special thanks go to John Andersson for valuable feedback on a preliminary version of the paper. E. Indrei acknowledges: (i) support from NSF Grants OISE-0967140 (PIRE), DMS-0405343, and DMS-0635983 administered by the Center for Nonlinear Analysis at Carnegie Mellon University and an AMS-Simons Travel Grant; (ii) the hospitality of the Max Planck Institute in Leipzig and University of Oxford where part of the research was carried out. L. Nurbekyan was partially supported by KAUST baseline and start-up funds and KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering.
dc.language.isoen
dc.publisherWorld Scientific Pub Co Pte Lt
dc.relation.urlhttp://link.springer.com/10.1007/s13373-016-0088-z
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
dc.subjectSemilinear elliptic theory
dc.subjectPartial differential equations
dc.subjectRegularity theory
dc.titleRegularity of solutions in semilinear elliptic theory
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalBulletin of Mathematical Sciences
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionCenter for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, PA 15213, USA
dc.contributor.institutionDepartment of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
dc.identifier.arxivid1601.05219
kaust.personNurbekyan, Levon
refterms.dateFOA2018-06-14T08:20:24Z
dc.date.published-online2016-07-08
dc.date.published-print2017-04


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