17 citations · 19 across the 4 of their papers we have counts for
5 papers
Quasilinear P.D.Es, Interpolation spaces and Hölderian mappings
Irshaad Ahmed, Alberto Fiorenza, Maria Rosaria Formica +3
As in the work of Tartar ( Tartar L. Interpolation non linéaire et régularité, 9, Journal of Functional Analysis, (1972), 469-489) we developed here some new results on non linear…
Potential capacity and applications
Jean Michel Rakotoson
We introduce a new capacity associated to a non negative function V. We apply this notion to the study of a necessary and sufficient condition to ensure the existence and uniquenes…
Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach
Jesús Ildefonso Díaz, David Gómez-Castro, Jean-Michel Rakotoson +1
In this paper we prove the existence and uniqueness of very weak solutions to linear diffusion equations involving a singular absorption potential and/or an unbounded convective fl…
Existence and uniqueness of solutions of Schrödinger type stationary equations with very singular potentials without prescribing boundary conditions and some applications
Jesús Ildefonso Díaz, David Gómez-Castro, Jean-Michel Rakotoson
Motivated mainly by the localization over an open bounded set of of solutions of the Schrödinger equations, we consider the Schrödinger equation over with a v…
Characterization of interpolation between Grand, small or classical Lebesgue spaces
Aberto Fiorenza, Maria Rosaria Formica, Amiran Gogatishvili +2
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally -spaces. As a direct cons…