In this paper we deal with the asymptotic problem (a(t)Phi(x'))' + b(t)F(x) = 0, lim(t ->infinity) x'(t) = 0, x(t) > 0 for large t. (*) Motivated by searching for positive radially symmetric solutions in a fixed exterior domain in R(N) for partial differential equations involving the curvature operator, the global positiveness and uniqueness of (*) is also considered. Several examples illustrate the discrepancies between the bounded and unbounded Phi. The results for the curvature operator and the classical Phi-Laplacian are compared, too.
Asymptotic problems for differential equations with bounded Phi- Laplacian / M. Cecchi; Z. Dosla; M. Marini. - In: ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. - ISSN 1417-3875. - ELETTRONICO. - 9, Sp. Ed. I:(2009), pp. 0-0.
Asymptotic problems for differential equations with bounded Phi- Laplacian
CECCHI, MARIELLA;MARINI, MAURO
2009
Abstract
In this paper we deal with the asymptotic problem (a(t)Phi(x'))' + b(t)F(x) = 0, lim(t ->infinity) x'(t) = 0, x(t) > 0 for large t. (*) Motivated by searching for positive radially symmetric solutions in a fixed exterior domain in R(N) for partial differential equations involving the curvature operator, the global positiveness and uniqueness of (*) is also considered. Several examples illustrate the discrepancies between the bounded and unbounded Phi. The results for the curvature operator and the classical Phi-Laplacian are compared, too.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.