dc.creator | Blanc, Pablo | |
dc.creator | Da Silva, Joao Vitor | |
dc.creator | Rossi, Julio Daniel | |
dc.date.accessioned | 2022-06-08T16:38:02Z | |
dc.date.accessioned | 2022-10-15T06:12:58Z | |
dc.date.available | 2022-06-08T16:38:02Z | |
dc.date.available | 2022-10-15T06:12:58Z | |
dc.date.created | 2022-06-08T16:38:02Z | |
dc.date.issued | 2019-01 | |
dc.identifier | Blanc, Pablo; Da Silva, Joao Vitor; Rossi, Julio Daniel; A limiting free boundary problem with gradient constraint and Tug-of-War games; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 198; 1-2019; 1441-1469 | |
dc.identifier | 0373-3114 | |
dc.identifier | http://hdl.handle.net/11336/159253 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4353900 | |
dc.description.abstract | In this manuscript we deal with regularity issues and the asymptotic behaviour (as p → ∞) of solutions for elliptic free boundary problems of p−Laplacian type (2 ≤ p < ∞): −pu(x) + λ0(x)χ{u>0}(x) = 0 in ⊂ RN , with a prescribed Dirichlet boundary data, where λ0 > 0 is a bounded function and is a regular domain. First, we prove the convergence as p → ∞ of any family of solutions (u p)p≥2, as well as we obtain the corresponding limit operator (in non-divergence form) ruling the limit equation, max −∞u∞, −|∇u∞| + χ{u∞>0} = 0 in ∩ {u∞ ≥ 0} u∞ = F on ∂ . Next, we obtain uniqueness for solutions to this limit problem. Finally, we show that any solution to the limit operator is a limit of value functions for a specific Tug-of-War game. | |
dc.language | eng | |
dc.publisher | Springer Heidelberg | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10231-019-00825-0 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10231-019-00825-0 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | LIPSCHITZ REGULARITY ESTIMATES | |
dc.subject | FREE BOUNDARY PROBLEMS | |
dc.subject | ∞-LAPLACE OPERATOR | |
dc.subject | TUG-OF-WAR GAMES | |
dc.title | A limiting free boundary problem with gradient constraint and Tug-of-War games | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |