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math.AP2013
Sobolev and Hardy-Littlewood-Sobolev inequalities
Jean Dolbeault, Gaspard Jankowiak
This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. The O…
math.AP2013★ 3 cited
Stationary solutions of Keller-Segel type crowd motion and herding models: multiplicity and dynamical stability
Jean Dolbeault, Peter Markowich, Gaspard Jankowiak
In this paper we study two models for crowd motion and herding. Each of the models is of Keller-Segel type and involves two parabolic equations, one for the evolution of the densit…