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Regularity of solutions in semilinear elliptic theory
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-9608-3984
2017 (English)In: Bulletin of Mathematical Sciences, ISSN 1664-3607, E-ISSN 1664-3615, Vol. 7, no 1, 177-200 p.Article in journal (Refereed) Published
Abstract [en]

We study the semilinear Poisson equation Delta u = f (x, u) in B-1. (1) Our main results provide conditions on f which ensure that weak solutions of (1) belong to C-1,C-1(B-1/2). In some configurations, the conditions are sharp.

Place, publisher, year, edition, pages
SPRINGER BASEL AG , 2017. Vol. 7, no 1, 177-200 p.
Keyword [en]
Semilinear elliptic theory, Partial differential equations, Regularity theory
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-206689DOI: 10.1007/s13373-016-0088-zISI: 000398708100005Scopus ID: 2-s2.0-85015965332OAI: oai:DiVA.org:kth-206689DiVA: diva2:1094145
Note

QC 20170509

Available from: 2017-05-09 Created: 2017-05-09 Last updated: 2017-05-09Bibliographically approved

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