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The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities
The pseudorelativistic Hartree equation general nonlinearity non existence variational identities Analysis of PDEs
2012/6/21
We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo-relativistic Hartree equations with general nonlinearities. We use variational methods and some n...
Generating functions for the Bernstein polynomials: A unified approach to deriving identities for the Bernstein basis functions
Bernstein polynomials generating function Szasz-Mirakjan basis functions
2011/2/28
The main aim of this paper is to provide a unified approach to deriving identities for the Bernstein polynomials using a novel generating function. We derive various functional equations and different...