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Positive radially symmetric solution of the Dirichlet problem for a nonlinear elliptic system with p-Laplacian

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Abstract

Sufficient conditions for the existence and uniqueness of a positive radially symmetric solution of the Dirichlet problem for a nonlinear elliptic second-order system with p-Laplacian are obtained. In addition, it also proved that these conditions guarantee the nonexistence of a global positive radially symmetric solution.

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  1. “Mathematical Notes,” Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

    É. I. Abduragimov

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  1. É. I. Abduragimov
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Correspondence to É. I. Abduragimov.

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Original Russian Text © É. I. Abduragimov, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 5, pp. 643–655.

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Abduragimov, É.I. Positive radially symmetric solution of the Dirichlet problem for a nonlinear elliptic system with p-Laplacian. Math Notes 100, 649–659 (2016). https://doi.org/10.1134/S0001434616110018

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  • DOI: https://doi.org/10.1134/S0001434616110018

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