SYMMETRY OF COMPONENTS FOR RADIAL SOLUTIONS OF γ-LAPLACIAN SYSTEMS

Wang, Yun

doi:10.4134/JKMS.2016.53.2.305

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SYMMETRY OF COMPONENTS FOR RADIAL SOLUTIONS OF γ-LAPLACIAN SYSTEMS

Journal title : Journal of the Korean Mathematical Society
Volume 53, Issue 2, 2016, pp.305-313
Publisher : The Korean Mathematical Society
DOI : 10.4134/JKMS.2016.53.2.305

Title & Authors

SYMMETRY OF COMPONENTS FOR RADIAL SOLUTIONS OF γ-LAPLACIAN SYSTEMS
Wang, Yun;

Abstract

In this paper, we give several sufficient conditions ensuring that any positive radial solution (u, v) of the following ${${\gamma}$}$ -Laplacian systems in the whole space ${${\mathbb{R}}^n$}$ has the components symmetry property ${$u{\equiv}v$}$ $$\{\array{-div({\mid}{\nabla}u{\mid}^{{\gamma}-2}{\nabla}u)

Keywords

${${\gamma}$}$ -Laplacian system;components symmetry property;radial solution;

Language

English

Cited by

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