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SUPER-LINEAR ELLIPTIC EQUATION FOR FULLY NONLINEAR OPERATORS WITHOUT GROWTH RESTRICTIONS FOR THE DATA
(2010)
In this paper we deal with existence and uniqueness
of solution to the fully nonlinear equation
−F(D2u) + |u|s−1u = f(x) in IRn,
where s > 1 and f satisfies only local integrability conditions. This
result is well known ...
Non-linear Schrodinger equation with non-local regional diffusion
(Springer, 2015)
In this article we are interested in the nonlinear Schrodinger equation with non-local regional difussion
epsilon(2 alpha)(-Delta)(rho)(alpha)u + u = f (u) in R-n,
u epsilon H-alpha(R-n),
where f is a super-linear ...
Scalar field equation with non-local diffusion
(Springer, 2015)
In this paper we are interested on the existence of ground state solutions for fractional field equations of the form
integral (I - Delta)(alpha) u = f(x, u) in IRN, u > 0 in IRN, lim(vertical bar x vertical bar ...