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Uniqueness of Radial Solutions for Elliptic Equation Involving the Pucci Operator
Department of Mathematics and Physics, North China Electric Power University, Beijing, China
- 1 Department of Mathematics and Physics, North China Electric Power University, Beijing, China
Advances in Pure Mathematics·Volume 02 (2012)·Pages 408–412·Published 9 November 2012·DOI10.4236/apm.2012.26061
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Abstract
The solution of a nonlinear elliptic equation involving Pucci maximal operator and super linear nonlinearity is studied. Uniqueness results of positive radial solutions in the annulus with Dirichlet boundary condition are obtained. The main tool is Lane-Emden transformation and Koffman type analysis. This is a generalization of the corresponding classical results involving Laplace operator.
KeywordsPucci OperatorRadial SolutionUniquenessSuper Linear
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