NONTRANSVERSAL INTERSECTION OF FREE AND FIXED BOUNDARIES FOR FULLY NONLINEAR ELLIPTIC OPERATORS IN TWO DIMENSIONS
2016 (English)In: Analysis & PDE, ISSN 2157-5045, E-ISSN 1948-206X, Vol. 9, no 2, 487-502 p.Article in journal (Refereed) PublishedText
In the study of classical obstacle problems, it is well known that in many configurations, the free boundary intersects the fixed boundary tangentially. The arguments involved in producing results of this type rely on the linear structure of the operator. In this paper, we employ a different approach and prove tangential touch of free and fixed boundaries in two dimensions for fully nonlinear elliptic operators. Along the way, several n-dimensional results of independent interest are obtained, such as BMO-estimates, C-1,C-1-regularity up to the fixed boundary, and a description of the behavior of blow-up solutions.
Place, publisher, year, edition, pages
2016. Vol. 9, no 2, 487-502 p.
obstacle problem, tangential touch, fully nonlinear equations, nontransverse intersection, free boundary problem
IdentifiersURN: urn:nbn:se:kth:diva-189826DOI: 10.2140/apde.2016.9.487ISI: 000378287000007ScopusID: 2-s2.0-84976438474OAI: oai:DiVA.org:kth-189826DiVA: diva2:949374
QC 201607192016-07-192016-07-152016-07-19Bibliographically approved