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Convex configurations for solutions to semilinear elliptic problems in convex rings
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-1316-7913
2006 (English)In: Communications in Partial Differential Equations, ISSN 0360-5302, E-ISSN 1532-4133, Vol. 31, no 9, 1273-1287 p.Article in journal (Refereed) Published
Abstract [en]

For a given convex ring Omega = Omega(2)\(Omega) over bar (1) and an L-1 function f : Omega x R -> R+ we show, under suitable assumptions on f, that there exists a solution (in the weak sense) to Delta(p)u = f(x, u) in Omega u = 0 on partial derivative Omega(2) u = M on partial derivative Omega(1) with {x is an element of Omega : u(x) > s} boolean OR Omega(1) convex, for all s is an element of (0, M).

Place, publisher, year, edition, pages
2006. Vol. 31, no 9, 1273-1287 p.
Keyword [en]
Bernoulli boundary condition, convexity, semilinear elliptic problems, level sets
Identifiers
URN: urn:nbn:se:kth:diva-15996DOI: 10.1080/03605300600859646ISI: 000240595000001Scopus ID: 2-s2.0-33748455249OAI: oai:DiVA.org:kth-15996DiVA: diva2:334038
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Shahgholian, Henrik

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