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Artículo
Study of the optimal harvesting control for an elliptic problem with slow diffusion
(Sociedade Brasileira de Matemática, 2007)
In this paper our aim is to present a survey of known results of an optimal control problem with concave non-quadratic cost functional and a state equation arising from population dynamics. First, we study in detail the ...
Artículo
Age-dependent diffusive Lotka-Volterra type systems
(Elsevier, 2007-03)
In this paper it is shown that the sub-supersolution method works for age-dependent diffusive nonlinear systems with non-local initial conditions. As application, we prove the existence and uniqueness of positive solution ...
Artículo
Existence and uniqueness of positive solution of a logistic equation with nonlinear gradient term
(Cambridge University Press, 2007-06)
The main goal of this work is to study the existence and uniqueness of positive solution of a logistic equation including a nonlinear gradient term. In particular, we use local and global bifurcation together with some ...
Artículo
Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1
(Springer, 2007-01)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear elliptic equation in divergence form with coefficients in L∞(Ω) which generalizes Laplace’s equation. ...