dc.creator | del Pezzo, Leandro Martin | |
dc.creator | Rossi, Julio Daniel | |
dc.date.accessioned | 2020-02-21T15:15:56Z | |
dc.date.accessioned | 2022-10-15T05:03:42Z | |
dc.date.available | 2020-02-21T15:15:56Z | |
dc.date.available | 2022-10-15T05:03:42Z | |
dc.date.created | 2020-02-21T15:15:56Z | |
dc.date.issued | 2018-12 | |
dc.identifier | del Pezzo, Leandro Martin; Rossi, Julio Daniel; Eigenvalues for systems of fractional p-Laplacians; Rocky Mt Math Consortium; Rocky Mountain Journal Of Mathematics; 48; 4; 12-2018; 1077-1104 | |
dc.identifier | 0035-7596 | |
dc.identifier | http://hdl.handle.net/11336/98262 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4347801 | |
dc.description.abstract | We study the eigenvalue problem for a system of fractional p-Laplacians, that is, (-Δp)ru=λαp|u|α-2u|v|β(-Δp)sv=λβp|u|α|v|β-2vu=v=0in Ω,in Ω,in Ωc=RNΩ. We show that there is a first (smallest) eigenvalue that is simple and has associated eigenpairs composed of positive and bounded functions. Moreover, there is a sequence of eigenvalues λn such that λn→∞ as n→∞ . In addition, we study the limit as p→∞ of the first eigenvalue, λ1,p, and we obtain [λ1,p]1/p→Λ1,∞ as p→∞, where Λ1,∞=inf(u,v){max{[u]r,∞[v]s,∞}∥|u|Γ|v|1-Γ∥L∞(Ω)}=[1R(Ω)](1-Γ)s+Γr. Here, R(Ω):= maxx∈Ω dist(x,∂Ω) and [w]t,∞:=sup(x,y)∈Ω|w(y)-w(x)||x-y|t. Finally, we identify a PDE problem satisfied, in the viscosity sense, by any possible uniform limit along subsequences of the eigenpairs. | |
dc.language | eng | |
dc.publisher | Rocky Mt Math Consortium | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.rmjm/1538272824 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | EIGENVALUE PROBLEMS | |
dc.subject | FRACTIONAL OPERATORS | |
dc.subject | P-LAPLACIAN | |
dc.title | Eigenvalues for systems of fractional p-Laplacians | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |