On positive weak solutions for a class of weighted (p(.), q(.))−Laplacian systems
Moroccan Journal of Pure and Applied Analysis, 2019 In this paper, we study the existence of positive weak solutions for a quasilinear elliptic system involving weighted (p(.), q(.))−Laplacian operators. The approach is based on sub-supersolutions method and on Schauder’s fixed point theorem.
Azroul Elhoussine +2 more
doaj +1 more source
Optimal waiting time bounds for some flux-saturated diffusion equations
, 2017 We consider the Cauchy problem for two prototypes of flux-saturated diffusion equations. In arbitrary space dimension, we give an optimal condition on the growth of the initial datum which discriminates between occurrence or nonoccurrence of a waiting ...
Giacomelli, Lorenzo +2 more
core +1 more source
Problems for P-Monge-Ampere Equations [PDF]
, 2012 2010 Mathematics Subject Classification: 35A23, 35B51, 35J96, 35P30, 47J20, 52A40.We consider the homogeneous Dirichlet problem for a class of equations which generalize the p-Laplace equations as well as the Monge- Amp`ere equations in a strictly convex
Anedda, Claudia +2 more
core +2 more sources
Regularity Results and Large Time Behavior for Integro-Differential Equations with Coercive Hamiltonians [PDF]
, 2014 In this paper we obtain regularity results for elliptic integro-differential equations driven by the stronger effect of coercive gradient terms. This feature allows us to construct suitable strict supersolutions from which we conclude H\"older estimates ...
Barles, Guy +3 more
core +6 more sources
Irreversible Games with Incomplete Information: The Asymptotic Value [PDF]
, 2010 Irreversible games are stochastic games in which once the play leaves a state it never revisits that state. This class includes absorbing games. This paper proves the existence and a characterization of the asymptotic value for any finite irreversible ...
Laraki, Rida
core +2 more sources
Existence, Uniqueness and Asymptotic Behavior for Nonlocal Parabolic Problems with Dominating Gradient Terms [PDF]
, 2014 In this paper we deal with the well-posedness of Dirichlet problems associated to nonlocal Hamilton-Jacobi parabolic equations in a bounded, smooth domain $\Omega$, in the case when the classical boundary condition may be lost. We address the problem for
Barles, Guy, Topp, Erwin
core +4 more sources
A level set crystalline mean curvature flow of surfaces [PDF]
, 2016 We introduce a new notion of viscosity solutions for the level set formulation of the motion by crystalline mean curvature in three dimensions. The solutions satisfy the comparison principle, stability with respect to an approximation by regularized ...
Giga, Yoshikazu, Požár, Norbert
core +2 more sources
On Neumann Type Problems for nonlocal Equations set in a half Space [PDF]
, 2014 International audienceWe study Neumann type boundary value problems for nonlocal equations related to Lévy processes. Since these equations are nonlocal, Neumann type problems can be obtained in many ways, depending on the kind of reflection we impose on
Barles, Guy +3 more
core +2 more sources
A Positivity Criterion for the Wave Equation and Global Existence of Large Solutions [PDF]
, 2016 In dimensions one to three, the fundamental solution to the free wave equation is positive. Therefore, there exists a simple positivity criterion for solutions.
Beceanu, Marius, Soffer, Avy
core +2 more sources
On viscosity solutions to the Dirichlet problem for elliptic branches of inhomogeneous fully nonlinear equations [PDF]
, 2017 For scalar fully nonlinear partial differential equations F(x, D2u(x)) = 0 with x ∈ Ω b RN , we present a general theory for obtaining comparison principles and well posedness for the associated Dirichlet problem, where F(x, ·) need not be monotone on ...
Cirant, Marco, Payne, Kevin R.
core +2 more sources