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- Andersson, JohnKTH,Matematik (Inst.) (author)
ALMOST EVERYWHERE REGULARITY FOR THE FREE BOUNDARY OF THE p-HARMONIC OBSTACLE PROBLEM p > 2
- Article/chapterEnglish2021
Publisher, publication year, extent ...
- 2021-05-11
- American Mathematical Society (AMS),2021
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:kth-297821
- https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297821URI
- https://doi.org/10.1090/spmj/1654DOI
Supplementary language notes
- Language:English
- Summary in:English
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Notes
- QC 20210622
- Let u be a solution to the normalized p-harmonic obstacle problem with p > 2. That is, u is an element of W-1,W-p(B-1(0)), 2 < p < infinity, u >= 0 and div(vertical bar del u vertical bar(p-2) del u) = chi({u>0}) in B-1(0) where u(x) >= 0 and chi(A) is the characteristic function of the set A. The main result is that for almost every free boundary point with respect to the (n - 1)-Hausdorff measure, there is a neighborhood where the free boundary is a C-1,C-beta-graph. That is, for Hn-1- a.e. point x(0) is an element of partial derivative{u > 0}boolean AND B-1(0) there is an r > 0 such that B-r(x(0))boolean AND partial derivative{u > 0} is an element of C-1,C-beta.
Subject headings and genre
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- p-Laplace operator
- blow-up
- Carleson measure
- Hausdorff measure
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- KTHMatematik (Inst.) (creator_code:org_t)
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- In:St. Petersburg Mathematical Journal: American Mathematical Society (AMS)32:3, s. 415-4331061-00221547-7371
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