Symmetry of n-mode positive solutions for two-dimensional H\'enon type systems

Naoki Shioji; Marco Squassina

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arXiv · 1301.7445

Symmetry of n-mode positive solutions for two-dimensional H\'enon type systems

Naoki Shioji·Marco Squassina

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Abstract

We provide a symmetry result for n-mode positive solutions of a general class of semi-linear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of H\'enon systems and provide the existence of multiple n-mode positive solutions.

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Naoki Shioji, Marco Squassina. 2013-01-30. Symmetry of n-mode positive solutions for two-dimensional H\'enon type systems. https://arxiv.org/abs/1301.7445

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