Some remarks on the classification of global solutions with asymptotically flat level sets

Ovidiu Savin

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arXiv · 1610.03448

Some remarks on the classification of global solutions with asymptotically flat level sets

Ovidiu Savin

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Abstract

We simplify some technical steps from \cite{S1} in which a conjecture of De Giorgi was addressed. For completeness we make the paper self-contained and reprove the classification of certain global bounded solutions for semilinear equations of the type $$\triangle u=W'(u),$$ where $W$ is a double well potential.

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Ovidiu Savin. 2016-10-11. Some remarks on the classification of global solutions with asymptotically flat level sets. https://arxiv.org/abs/1610.03448

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