Zobrazeno 1 - 10
of 1 274
pro vyhledávání: '"Rossi, A. D."'
In this paper we look for the convex hull of a set using the geometric evolution by minimal curvature of a hypersurface that surrounds the set. To find the convex hull, we study the large time behavior of solutions to an obstacle problem for the leve
Externí odkaz:
http://arxiv.org/abs/2409.06855
In this paper we study the two membranes problem for operators given in terms of a mean value formula on a regular tree. We show existence of solutions under adequate conditions on the boundary data and the involved source terms. We also show that, w
Externí odkaz:
http://arxiv.org/abs/2404.13090
We study the behavior of the fractional convexity when the fractional parameter goes to 1. For any notion of convexity, the convex envelope of a datum prescribed on the boundary of a domain is defined as the largest possible convex function inside th
Externí odkaz:
http://arxiv.org/abs/2404.07756
In this paper we analyze iterations of the obstacle problem for two different operators. We solve iteratively the obstacle problem from above or below for two different differential operators with obstacles given by the previous functions in the iter
Externí odkaz:
http://arxiv.org/abs/2310.17745
Autor:
Miranda, Alfredo, Rossi, Julio D.
In this paper we find viscosity solutions to the two membranes problem (that is a system with two obstacle-type equations) with two different $p-$Laplacian operators taking limits of value functions of a sequence of games. We analyze two-player zero-
Externí odkaz:
http://arxiv.org/abs/2310.16718
Autor:
Rossi, Julio D., Ruiz-Cases, Jorge
In this paper we introduce two new fractional versions of the Laplacian. The first one is based on the classical formula that writes the usual Laplacian as the sum of the eigenvalues of the Hessian. The second one comes from looking at the classical
Externí odkaz:
http://arxiv.org/abs/2309.11621
The starting point of this paper is the study of the asymptotic behavior, as $p\to\infty$, of the following minimization problem $$ \min\left\{\frac1{p}\int|\nabla v|^{p}+\frac12\int(v-f)^2 \,, \quad \ v\in W^{1,p} (\Omega)\right\}. $$ We show that t
Externí odkaz:
http://arxiv.org/abs/2307.12895
In this paper we study the evolution problem associated with the first fractional eigenvalue. We prove that the Dirichlet problem with homogeneous boundary condition is well posed for this operator in the framework of viscosity solutions (the problem
Externí odkaz:
http://arxiv.org/abs/2301.06524
We study a natural alternating method of Schwarz type (domain decomposition) for certain class of couplings between local and nonlocal operators. We show that our method fits into Lion's framework and prove, as a consequence, convergence in both, the
Externí odkaz:
http://arxiv.org/abs/2212.06093
In this paper we prove an asymptotic $C^{1,\gamma}$-estimate for value functions of stochastic processes related to uniformly elliptic dynamic programming principles. As an application, this allows us to pass to the limit with a discrete gradient and
Externí odkaz:
http://arxiv.org/abs/2206.09001