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Properties of solutions to fractional p-subLaplace equations on the Heisenberg group

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The aim of this paper is to study properties of solutions to the fractional p-subLaplace equations on the Heisenberg group. Based on the maximum principles and the generalization of the… Click to show full abstract

The aim of this paper is to study properties of solutions to the fractional p-subLaplace equations on the Heisenberg group. Based on the maximum principles and the generalization of the direct method of moving planes, we obtain the symmetry and monotonicity of the solutions on the whole group and the Liouville property of solutions on a half space.

Keywords: properties solutions; equations heisenberg; solutions fractional; fractional sublaplace; group; sublaplace equations

Journal Title: Boundary Value Problems
Year Published: 2020

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