In this paper we consider the Liouville equation Δu+λ2eu=0 with Dirichlet boundary conditions in a two dimensional, doubly connected domain Ω. We show that there exists a simple, closed curve γ⊂Ω such that for a sequence ...

In this article we prove that the first eigenvalue of the ∞− Laplacian { min {− ∆ ∞ v, |∇ v |− λ 1 , ∞ (Ω) v } = 0 in Ω v = 0 on ∂ Ω , has a unique (up to scalar multiplication) maximal solution. This maximal solution can ...

In this paper we consider the existence of the maximal and mean square stabilizing solutions for a set of generalized coupled algebraic Riccati equations (GCARE for short) associated to the infinite-horizon stochastic ...

We study the maximum likelihood model in emission tomography and propose a new family of algorithms for its solution, called string-averaging expectation maximization (SAEM). In the string-averaging algorithmic regime, the ...

By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of non-convex sweeping processes involving maximal monotone operators. The system can be considered as ...

Let Ω⊂R2 be a polygonal domain, and let Li, i=1,2, be two elliptic operators of the form Liu(x):=−div(Aix∇u(x))+cixu(x)−fix.Motivated by the results in Blanc et al. (2016), we propose a numerical iterative method to compute ...

This paper presents a hybrid algorithm that combines a metaheuristic and an exact method to solve the Probabilistic Maximal Covering Location-Allocation Problem. A linear programming formulation for the problem presents ...