Symmetry of large solutions of nonlinear elliptic equations in a ball
نویسندگان
چکیده
Let g be a locally Lipschitz continuous real valued function which satisfies the KellerOsserman condition and is convex at infinity, then any large solution of −∆u+ g(u) = 0 in a ball is radially symmetric. 1991 Mathematics Subject Classification. 35J60 .
منابع مشابه
Some remarks on singular solutions of nonlinear elliptic equations. I
We study strong maximum principles for singular solutions of nonlinear elliptic and degenerate elliptic equations of second order. An application is given on symmetry of positive solutions in a punctured ball using the method of moving planes. Mathematics Subject Classification (2000). 35J69, 58J05, 53C21, 35J60.
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