Results 31 to 40 of about 181 (48)
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
Periodic total variation flow of non-divergence type in Rn [PDF]
, 2013 We introduce a new notion of viscosity solutions for a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of arbitrary dimension, whose diffusion on flat parts with zero slope is so strong that it becomes a ...
Giga, Mi-Ho +2 more
core +2 more sources
, 2022 In this paper we prove the existence of at least one positive solution for the nonlocal semipositone problem \[ \displaystyle \left\{\begin{array}{rcll} (-\Delta)_p^s(u) &=& \lambda f(u) \qquad & \text{in} \ \ \Omega \\u &=& 0 & \text{in ...
Lopera, Emer +2 more
core +1 more source
Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth [PDF]
, 2013 In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic equations containing singular terms and natural growth in the gradient.
Carmona Tapia, José +2 more
core +2 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
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
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
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
Nonlinear diffusion in transparent media: the resolvent equation
, 2017 We consider the partial differential equation $$ u-f={\rm div}\left(u^m\frac{\nabla u}{|\nabla u|}\right) $$ with $f$ nonnegative and bounded and $m\in\mathbb{R}$.
Giacomelli, Lorenzo +2 more
core +1 more source
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