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| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.creator | García Melián, Jorge | - |
| dc.creator | Rossi, Julio Daniel | - |
| dc.creator | Sabina de Lis, José C. | - |
| dc.date | 2017-05-15T22:11:20Z | - |
| dc.date | 2017-05-15T22:11:20Z | - |
| dc.date | 2010-09 | - |
| dc.date | 2017-05-15T21:09:11Z | - |
| dc.date.accessioned | 2019-04-29T15:28:25Z | - |
| dc.date.available | 2019-04-29T15:28:25Z | - |
| dc.date.issued | 2017-05-15T22:11:20Z | - |
| dc.date.issued | 2017-05-15T22:11:20Z | - |
| dc.date.issued | 2010-09 | - |
| dc.date.issued | 2017-05-15T21:09:11Z | - |
| dc.identifier | García Melián, Jorge; Rossi, Julio Daniel; Sabina de Lis, José C.; Large solutions to an anisotropic quasilinear elliptic problem; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 189; 4; 9-2010; 689-712 | - |
| dc.identifier | 0373-3114 | - |
| dc.identifier | http://hdl.handle.net/11336/16520 | - |
| dc.identifier | 1618-1891 | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/294757 | - |
| dc.description | In this paper we consider existence, asymptotic behavior near the boundary and uniqueness of positive solutions to the problem: divx(|∇xu| p−2∇xu)(x, y) + divy(|∇yu| q−2∇yu)(x, y) = u r (x, y) in a bounded domain Ω⊂RN×RMΩ⊂RN×RM together with the boundary condition u (x, y) = ∞ on ∂Ω. We prove that the necessary and sufficient condition for the existence of a solution u∈W1,p,qloc(Ω)u∈Wloc1,p,q(Ω) to this problem is r > max{p−1, q−1}. Assuming that r > q−1 ≥ p−1 > 0 we will show that the exponent q controls the blow-up rates near the boundary in the sense that all points of ∂Ω share the same profile, that depends on q and r but not on p, with the sole exception of the vertical points (where the exponent p plays a role). | - |
| dc.description | Fil: García Melián, Jorge. Universidad de la Laguna; España | - |
| dc.description | Fil: Rossi, Julio Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina | - |
| dc.description | Fil: Sabina de Lis, José C.. Universidad de la Laguna; España | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Springer Heidelberg | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10231-010-0132-7 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10231-010-0132-7 | - |
| dc.rights | info:eu-repo/semantics/openAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.subject | Anisotripic problems | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | Large solutions to an anisotropic quasilinear elliptic problem | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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