This paper concerns Hopf's boundary point lemma, in certain C1, Dini-type domains, for a class of singular/degenerate PDE-s, including p-Laplacian. Using geometric properties of levels sets for harmonic functions in convex rings, we construct sub-solutions to our equations that play the role of a barrier from below. By comparison principle we then conclude Hopf's lemma.
|Number of pages||10|
|Journal||Annales Academiae Scientiarum Fennicae Mathematica|
|Publication status||Published - 2015|
- Partial differential equations
ASJC Scopus subject areas
- Mathematics (all)