On the porosity of free boundaries in degenerate variational inequalities
2000 (English)In: Journal of Differential Equations, ISSN 0022-0396, E-ISSN 1090-2732, Vol. 164, no 1, 110-117 p.Article in journal (Refereed) Published
In this note we consider a certain degenerate variational problem with constraint identically zero. The exact growth of the solution near th free boundary is established. A consequence of this is that the free boundary is porous and therefore its Hausdorff dimension is less than N and hence it is of Lebesgue measure zero.
Place, publisher, year, edition, pages
2000. Vol. 164, no 1, 110-117 p.
obstacle problem, nonhomogeneous p-Laplace equation, free boundary, porosity, elliptic-equations, obstacle
IdentifiersURN: urn:nbn:se:kth:diva-19848ISI: 000087783500005OAI: oai:DiVA.org:kth-19848DiVA: diva2:338540
QC 201005252010-08-102010-08-10Bibliographically approved