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Propagating terraces in a proof of the Gibbons conjecture and related results

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The Gibbons conjecture stating the one-dimensional symmetry of certain solutions of semilinear elliptic equations has been proved by several authors. We show how attractivity properties of minimal propagating terraces of… Click to show full abstract

The Gibbons conjecture stating the one-dimensional symmetry of certain solutions of semilinear elliptic equations has been proved by several authors. We show how attractivity properties of minimal propagating terraces of one-dimensional parabolic problems can be used in a proof of a version of this result and related statements.

Keywords: proof gibbons; related results; terraces proof; propagating terraces; gibbons conjecture; conjecture related

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017

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