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Saddle-shaped solutions of bistable diffusion equations in all of $\mathbb{R}^{2m}$
We study the existence and instability properties of saddle-shaped solutions of the semilinear elliptic equation −∆ u = f ( u ) in the whole ℝ2_m_, where f is of bistable type. It is known that in dimension 2_m_ = 2 there exists a saddle-shaped solution. This is a solution …