E. I. Abduragimov, “Uniqueness of a positive solution to the Dirichlet problem for a quasilinear equation with <nobr>$p$</nobr>-Laplacian in a ball”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 10,Pages <nobr>3

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Uniqueness of a positive solution to the Dirichlet problem for a quasilinear equation with $p$-Laplacian in a ball

E. I. Abduragimov

Department of Mathematics and Information Science, Dagestan Scientific Center of Russian Academy of Sciences, Makhachkala, Russia

Abstract: We obtain sufficient conditions for the existence of a unique positive radially symmetric solution to the Dirichlet problem for quasilinear equation of elliptic type in many-dimensional ball.

Keywords: positive solution, radially symmetric solution, Dirichlet problem, differential equation.

UDC: 517.956

Received: 31.07.2010