A two-phase obstacle-type problem for the p-Laplacian
2009 (English)In: Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, E-ISSN 1432-0835, Vol. 35, no 4, 421-433 p.Article in journal (Refereed) Published
We study the so-called two-phase obstacle-type problem for the p-Laplacian when p is close to 2. We introduce a new method to obtain the optimal growth of the function from branch points, i.e. two-phase points in the free boundary where the gradient vanishes. As a by-product we can locally estimate the (n - 1)-Hausdorff-measure of the free boundary for the special case when p > 2.
Place, publisher, year, edition, pages
2009. Vol. 35, no 4, 421-433 p.
IdentifiersURN: urn:nbn:se:kth:diva-10333DOI: 10.1007/s00526-008-0212-3ISI: 000265084800002ScopusID: 2-s2.0-64749108515OAI: oai:DiVA.org:kth-10333DiVA: diva2:214780
QC 201007282009-05-062009-05-062010-12-03Bibliographically approved