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arXiv · 1612.09245

Decay estimates and symmetry of finite energy solutions to elliptic systems in R^n

Jérôme Vétois
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Abstract

We study a notion of finite energy solutions to elliptic systems with power nonlinearities in R^n. We establish sharp pointwise decay estimates for positive and sign-changing solutions. By using these estimates, we obtain symmetry results when the solutions are positive.

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Jérôme Vétois. 2016-12-29. Decay estimates and symmetry of finite energy solutions to elliptic systems in R^n. https://doi.org/10.1512/iumj.2019.68.7661

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