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- Centre National de la Recherche ScientifiqueFR9 papers
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4 papers · 1 filter
Qualitative properties of saddle-shaped solutions to bistable diffusion equations
Xavier Cabre, Joana Terra
We consider the elliptic equation in the whole , where is of bistable type. It is known that there exists a saddle-shaped solution in . This is a…
Positive solutions of nonlinear problems involving the square root of the Laplacian
Xavier Cabre, Jinggang Tan
We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive so…
Global existence and uniqueness of solutions to a model of price formation
Lincoln Chayes, Maria del Mar Gonzalez, Maria Pia Gualdani +1
We study a model due to J.M. Lasry and P.L. Lions, describing the evolution of a scalar price which is realized as a free boundary in a 1-D diffusion equation with dynamically evol…
Gamma convergence of an energy functional related to the fractional Laplacian
Maria D. M. Gonzalez
We prove a Gamma-convergence result for an energy functional related to some fractional powers of the Laplacian operator, with two singular perturbations (one in the interior and o…