Existence of classical solutions to a free boundary problem for the p-Laplace operator: (II) the interior convex case

By Antoine Henrot, H. Shahgholian. 2000

49 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b266b64c98a788a772a0aeb4cb726c70eab2e5d6

Citations in the corpus

• A minimum problem with free boundary for a degenerate quasilinear operator (2005, unknown): “(3.1) In the case 1 p ≤ 2 we have∫ B (|∇u|p − |∇v|p) ≥ γp ∫ 1 0 ds s ∫ B |∇(us − v)|2(|∇us|+ |∇v|)p−2 ≥ c ∫ 1 0 s ds ∫ B |∇(u− v)|2(|∇u|+ |∇v|)p−2 ≥ c ∫ B |∇(u− v)|2(|∇u|+ |∇v|)p−2.”