21,955 research outputs found
Lecture Notes on Gradient Flows and Optimal Transport
We present a short overview on the strongest variational formulation for
gradient flows of geodesically -convex functionals in metric spaces,
with applications to diffusion equations in Wasserstein spaces of probability
measures. These notes are based on a series of lectures given by the second
author for the Summer School "Optimal transportation: Theory and applications"
in Grenoble during the week of June 22-26, 2009
Existence result for differential inclusion with p(x)-Laplacian
In this paper we study the nonlinear elliptic problem with p(x)-Laplacian
(hemivariational inequality). We prove the existence of a nontrivial solution.
Our approach is based on critical point theory for locally Lipschitz
functionals due to Chang
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