Uniqueness of Positive Radially Symmetric Solutions of the Dirichlet Problem for a Nonlinear Elliptic System of Second Order
Matematičeskie zametki, Tome 93 (2013) no. 1, pp. 3-12

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We prove the existence and uniqueness of positive radially symmetric solutions of the Dirichlet problem for a nonlinear elliptic system of second order. A numerical method for constructing such solutions is also given.
Keywords: nonlinear elliptic system of second order, radially symmetric function, Dirichlet problem, Cauchy problem, test function, blow-up of global solutions.
@article{MZM_2013_93_1_a0,
     author = {E. I. Abduragimov},
     title = {Uniqueness of {Positive} {Radially} {Symmetric} {Solutions} of the {Dirichlet} {Problem} for a {Nonlinear} {Elliptic} {System} of {Second} {Order}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {3--12},
     publisher = {mathdoc},
     volume = {93},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_1_a0/}
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E. I. Abduragimov. Uniqueness of Positive Radially Symmetric Solutions of the Dirichlet Problem for a Nonlinear Elliptic System of Second Order. Matematičeskie zametki, Tome 93 (2013) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/MZM_2013_93_1_a0/