X. Cabré

most citedRegularity of minimizers of semilinear elliptic problems up to dimension four

20 citations · 29 across the 2 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 $- Δ u = f (u)$ in a bounded smooth domain $Ω$ of $R^{n}$ (with $Ω$ convex in some results). This class includes all…

math.AP2008★ 9 cited

Saddle-shaped solutions of bistable diffusion equations in all of $R^{2 m}$

Xavier Cabre, Joana Terra

We study the existence and instability properties of saddle-shaped solutions of the semilinear elliptic equation $- Δ u = f (u)$ in the whole $R^{2 m}$ , where $f$ is of bistable type.…

Regularity of minimizers of semilinear elliptic problems up to dimension four

Saddle-shaped solutions of bistable diffusion equations in all of R2m

Saddle-shaped solutions of bistable diffusion equations in all of $R^{2 m}$