Rigidity of minimizers in nonlocal phase transitions

Abstract

We obtain the classification of certain global bounded solutions for semilinear nonlocal equations of the type $${△}^{s}u=W^{\prime }(u)$$ in ${\mathbb{R}}^n$,with $s\in (1/2,1),$ where $W$ is a double well potential.

arXiv admin note: text overlap with arXiv:1610.03448

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