On uniqueness for nonlinear elliptic equation involving the Pucci's extremal operator
Author | dc.contributor.author | Felmer Aichele, Patricio | es_CL |
Author | dc.contributor.author | Quaas, Alexander | es_CL |
Author | dc.contributor.author | Tang, Moxun | |
Admission date | dc.date.accessioned | 2009-04-01T17:21:49Z | |
Available date | dc.date.available | 2009-04-01T17:21:49Z | |
Publication date | dc.date.issued | 2006-07-01 | |
Cita de ítem | dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 226 Issue: 1 Pages: 80-98 Published: JUL 1 2006 | en |
Identifier | dc.identifier.issn | 0022-0396 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/124856 | |
Abstract | dc.description.abstract | In this article we study uniqueness of positive solutions for the nonlinear uniformly elliptic equation M-lambda(+),(Lambda)(D(2)u) - u + u(P) = 0 in R-N, lim(r ->infinity) u(r) = 0, where M-lambda(,Lambda)+ (D(2)u) denotes the Pucci's extremal operator with parameters 0 < lambda < Lambda and p > 1. It is known that all positive solutions of this equation are radially symmetric with respect to a point in R-N, so the problem reduces to the study of a radial version of this equation. However, this is still a nontrivial question even in the case of the Laplacian (lambda = Lambda). The Pucci's operator is a prototype of a nonlinear operator in no-divergence form. This feature makes the uniqueness question specially challenging, since two standard tools like Pohozaev identity and global integration by parts are no longer available. The corresponding equation involving M-lambda(,Lambda)- is also considered. | en |
Lenguage | dc.language.iso | en | en |
Publisher | dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en |
Keywords | dc.subject | POSITIVE RADIAL SOLUTIONS | en |
Título | dc.title | On uniqueness for nonlinear elliptic equation involving the Pucci's extremal operator | en |
Document type | dc.type | Artículo de revista |
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