167 citations · 305 across the 38 of their papers we have counts for
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math.AP2009★ 20 cited
Regularity of minimizers of semilinear elliptic problems up to dimension four
Xavier Cabre
We consider the class of semi-stable solutions to semilinear equations in a bounded smooth domain of (with convex in some results). This class includes all…
math.AP2009★ 2 cited
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…
math.AP2009★ 4 cited
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…