Existence of classical solutions to a free boundary problem for the p-Laplace operator: (II) The interior convex case
2000 (English)In: Indiana University Mathematics Journal, ISSN 0022-2518, Vol. 49, no 1, 311-323 p.Article in journal (Refereed) Published
In this paper, we prove the existence of convex classical solutions for a Bernoulli-type free boundary problem, in the interior of a convex domain. The governing operator considered is the p-Laplacian. This work is inspired by the pioneering work of A. Beurling where he proves the existence for the harmonic case in the plane, using the notion of sub- and super-solutions in a geometrical sense.
Place, publisher, year, edition, pages
2000. Vol. 49, no 1, 311-323 p.
IdentifiersURN: urn:nbn:se:kth:diva-20019ISI: 000089184800012OAI: oai:DiVA.org:kth-20019DiVA: diva2:338712
QC 201005252010-08-102010-08-10Bibliographically approved