177 citations
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Showing 2012 · math.APShow all
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math.AP2012★ 39 cited
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…
math.AP2012★ 10 cited
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…
math.AP2012★ 2 cited
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…