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20 papers · 1 filter
Existence of global strong solution for Korteweg system with large infinite energy initial data
Boris Haspot
This work is devoted to the study of the initial boundary value problem for a general isothermal model of capillary fluids derived by J.E Dunn and J.Serrin (1985), which can be use…
Homogenization and asymptotics for small transaction costs: the multidimensional case
Dylan Possamaï, H. Mete Soner, Nizar Touzi
In the context of the multi-dimensional infinite horizon optimal consumption-investment problem with proportional transaction costs, we provide the first order expansion in small t…
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…
Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited
Scott N. Armstrong, Charles K. Smart
We give a simplified presentation of the obstacle problem approach to stochastic homogenization for elliptic equations in nondivergence form. Our argument also applies to equations…
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…
Existence of nodal solutions for Dirac equations with singular nonlinearities
Loïc Le Treust
We prove, by a shooting method, the existence of infinitely many solutions of the form of the nonlinear Dirac equation {equation*} i\underset{μ=0}{\over…