630 citations
- European Southern ObservatoryCL60 papers
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4 papers · 2 filters
Existence of solution for a class of fractional Hamiltonian systems
César Torres
In this work we want to prove the existence of solution for a class of fractional Hamiltonian systems given by {eqnarray*}_{t}D_{\infty}^α(_{-\infty}D_{t}^αu(t)) + L(t)u(t) = & \na…
Sharp interpolation inequalities on the sphere : new methods and consequences
Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk +1
These notes are devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension two and higher interpolate between Poincaré, log…
Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator
Jean Dolbeault, Marta Garcia-Huidobro, Raul Manásevich
We consider radial solutions of an elliptic equation involving the p-Laplace operator and prove by a shooting method the existence of compactly supported solutions with any prescri…
Quantitative uniqueness for Schrodinger operator with regular potentials
Laurent Bakri, Jean-Baptiste Casteras
We give a sharp upper bound on the vanishing order of solutions to Schrodinger equation with C^1 electric and magnetic potentials on a compact smooth manifold. Our method is based…