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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...
The double cover of cubic surfaces branched along their Hessian
double cover cubic surfaces branched
2011/2/23
We prove the relation between the Hodge structure of the double cover of a nonsingular cubic surface branched along its Hessian and the Hodge structure of the triple cover of P3 branched along the cub...
Generalized string equations for double Hurwitz numbers
Hurwitz numbers Toda hierarchy generalized string equation
2011/2/28
The generating function of double Hurwitz numbers is known to become a tau function of the Toda hierarchy. The associated Lax and Orlov-Schulman operators turn out to satisfy a set of generalized stri...