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Mostrando ítems 11-19 de 19
Artículo
On the uniqueness of positive solution of an elliptic equation
(Elsevier, 2005-10)
This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity satisfies an specific monotony property. In order to prove the main result, we employ a change of variable used in previous ...
Artículo
On a parabolic-elliptic chemotactic model with coupled boundary conditions
(Elsevier, 2010-10)
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary conditions related to pattern formation. We prove the existence of a unique positive global in time ...
Artículo
Nonlinear age-dependent diffusive equations: a bifurcation approach
(Elsevier, 2008-05-01)
The main goal of this paper is the study of the existence and uniqueness of positive solutions of some nonlinear age-dependent diffusive models, arising from dynamic populations. We use bifurcation method, for which it has ...
Artículo
Combining fast, linear and slow diffusion
(Juliusz Schauder Center for Nonlinear Studies, 2004)
Although the pioneering studies of G. I. Barenblatt ([8] G. I. Barenblatt, On some unsteady motions of a liquid or a gas in a porous medium, Prikl. Mat. Mekh. 16 (1952), 67–68) and A. G. Aronson and L. A. Peletier ([7] ...
Artículo
An eigenvalue problem for non-bounded quasi-linear operator
(Cambridge University Press, 2004-06)
In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with a not necessarily bounded operator. For that, we use the bifurcation theory and obtain the existence ...
Artículo
Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary
(Springer, 2008-07)
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative solutions to the semilinear elliptic equation −∆u = λu − u p in Ω, with the nonlinear boundary condition ...
Artículo
Positive solutions for the degenerate logistic indefinite superlinear problem the slow diffusion case
(University of Houston, 2003)
In this work we study the existence, stability and multiplicity of the positive steady-states solutions of the degenerate logistic indefinite superlinear problem. By an adequate change of variable, the problem is transformed ...
Artículo
Combining linear and nonlinear diffusion
(De Gruyter, 2004-08)
In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) —spatially heterogeneous—, is assumed to be linear, m = 1, on a piece of the support domain, Ω1, and slow nonlinear, m(x) > 1, ...
Artículo
Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system
(IOPscience, 2003-07)
Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. In previous papers the time asymptotic behaviour as t → ∞ has been considered. In this paper we also ...