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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★ 1 cited
A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities
Jean Dolbeault, Juan Campos Serrano
This note is devoted to several inequalities deduced from a special form of the logarithmic Hardy-Littlewood-Sobolev, which is well adapted to the characterization of stationary so…