7 citations · 43 across the 38 of their papers we have counts for
7 papers · 2 filters
Positive solutions to some nonlinear fractional Schrödinger equations via a min-max procedure
Gilles Evéquoz, Mouhamed Moustapha Fall
The existence of a positive solution to the following fractional semilinear equation is proven, in a situation where a ground state solution may not exist. More precisely, we consi…
Unique continuation properties for relativistic Schrödinger operators with a singular potential
Mouhamed Moustapha Fall, Veronica Felli
Asymptotics of solutions to relativistic fractional elliptic equations with Hardy type potentials is established in this paper. As a consequence, unique continuation properties are…
Overdetermined problems with fractional Laplacian
Mouhamed Moustapha Fall, Sven Jarohs
Let and . In the present work we characterize bounded open sets with boundary (\textit{not necessarily connected}) for which the following overdete…
Monotonicity and nonexistence results for some fractional elliptic problems in the half space
Mouhamed Moustapha Fall, Tobias Weth
We study a class of fractional elliptic problems of the form $\Ds u= f(u)$ in the half space with the complementary Dirichlet condition $u \equi…
Orbital stability of standing waves of a class of fractional Schrodinger equations with a general Hartree-type integrand
Y. Cho, M. M. Fall, H. Hajaiej +2
This article is concerned with the mathematical analysis of a class of a nonlinear fractional Schrodinger equations with a general Hartree-type integrand. We prove existence and un…
Unique continuation property and local asymptotics of solutions to fractional elliptic equations
Mouhamed Moustapha Fall, Veronica Felli
Asymptotics of solutions to fractional elliptic equations with Hardy type potentials is studied in this paper. By using an Almgren type monotonicity formula, separation of variable…