| 1. |
- Lewis, John L., et al.
(författare)
-
Regularity of flat free boundaries in two-phase problems for the p-Laplace operator
- 2012
-
Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - : European Mathematical Society - EMS - Publishing House GmbH. - 0294-1449 .- 1873-1430. ; 29:1, s. 83-108
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper we continue the study in Lewis and Nystrom (2010) [19], concerning the regularity of the free boundary in a general two-phase free boundary problem for the p-Laplace operator, by proving regularity of the free boundary assuming that the free boundary is close to a Lipschitz graph.
|
|
| 2. |
- Pinchover, Yehuda, et al.
(författare)
-
A Liouville-type theorem for the p-Laplacian with potential term
- 2008
-
Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - : European Mathematical Society - EMS - Publishing House GmbH. - 0294-1449 .- 1873-1430. ; 25:2, s. 357-368
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state. Unlike in the linear case (p = 2), this condition involves comparison of both the functions and of their gradients.
|
|
| 3. |
- Strömqvist, Martin, 1982-
(författare)
-
Harnack's Inequality for Parabolic Nonlocal Equations
- 2019
-
Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - : European Mathematical Society - EMS - Publishing House GmbH. - 0294-1449 .- 1873-1430. ; 36:6, s. 1709-1745
-
Tidskriftsartikel (refereegranskat)abstract
- The main result of this paper is a nonlocal version of Harnack's inequality for a class of parabolic nonlocal equations. We additionally establish a weak Harnack inequality as well as local boundedness of solutions. None of the results require the solution to be globally positive.
|
|
