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

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.

arXiv commentNew version with added references

References in corpus (4)

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• Asymptotic Behaviors of Solutions to quasilinear elliptic Equations with critical Sobolev growth and Hardy potential
• Qualitative properties of solutions for an integral system related to the Hardy-Sobolev inequality
• Decay properties of the Hardy-Littlewood-Sobolev systems of the Lane-Emden type