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.

About the authors

É. I. Abduragimov

“Mathematical Notes,” Steklov Mathematical Institute

Author for correspondence.
Email: abduragimov42@mail.ru
Russian Federation, Moscow

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