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• W2339693941 startingPage "815" @default.
• W2339693941 abstract "The purpose of this paper is to study a boundary reaction problem on the space $X times {mathbb R}$, where $X$ is an abstractWiener space. We prove that smooth bounded solutions enjoy a symmetry property, i.e., are one-dimensional in a suitablesense. As a corollary of our result, we obtain a symmetry property for some solutions of the following equation$$(-Delta_gamma)^s u= f(u),$$with $sin (0,1)$, where $(-Delta_gamma)^s$ denotes a fractional powerof the Ornstein-Uhlenbeck operator, and we prove that for any $s in (0,1)$monotone solutions are one-dimensional." @default.
• W2339693941 created "2016-06-24" @default.
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• W2339693941 date "2016-04-01" @default.
• W2339693941 modified "2023-09-25" @default.
• W2339693941 title "A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications" @default.
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• W2339693941 doi "https://doi.org/10.3934/dcdss.2016030" @default.
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