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Entropy power inequality for a family of discrete random variables
Entropy power inequality family of discrete random variables
2011/1/17
It is known that the Entropy Power Inequality (EPI) always holds if the random variables have density. Not much work has been done to identify discrete distributions for which the inequality holds wit...
Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity
Nonlinear Equations Variational Methods Orlicz Spaces
2011/2/28
We consider the problem u + V (x)u = f0(u) + g(x) in RN, under the assumption limx!1 V (x) = 0, and with the non linear term f with a double power behavior. We prove the existence two solut...