Monotonicity and Symmetry of Positive Solutions to Nonlinear Elliptic Equations : Local Moving Planes and Unique Continuation
نویسنده
چکیده
We prove local properties of symmetry and monotonicity for nonnegative solutions of scalar eld equations with nonlinearities which are not Lipschitz. Our main tools are a local Moving Planes method and a unique continuation argument which is connected with techniques used for proving the uniqueness of radially symmetric solutions.
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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