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Matematicheskie Zametki, 2016, Volume 100, Issue 5, Pages 643–655
DOI: https://doi.org/10.4213/mzm10681 (Mi mzm10681) 		 
Positive Radially Symmetric Solution of the Dirichlet Problem for a Nonlinear Elliptic System with $p$-Laplacian

E. I. Abduragimov

Republic of Dagestan, Makhachkala
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DOI: https://doi.org/10.4213/mzm10681
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.
Keywords: Dirichlet problem, nonlinear differential equation, $p$-Laplacian, positive solution.
Received: 02.12.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 5, Pages 649–659
DOI: https://doi.org/10.1134/S0001434616110018
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: E. I. Abduragimov, “Positive Radially Symmetric Solution of the Dirichlet Problem for a Nonlinear Elliptic System with $p$-Laplacian”, Mat. Zametki, 100:5 (2016), 643–655; Math. Notes, 100:5 (2016), 649–659
Citation in format AMSBIB
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