Advances in Differential Equations and Control Processes
Volume 10, Issue 2, Pages 149 - 159
(November 2012)
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RADIAL SOLUTIONS OF A CLASS OF FULLY NONLINEAR ELLIPTIC EQUATIONS
Yong Liu
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Abstract: The solution of a fully nonlinear elliptic equation involving Pucci maximal operator and super critical nonlinearity is studied. Using ODE analysis, nonexistence of positive radial solutions in the punctured ball with Dirichlet boundary condition is proven. The main tool is Lane-Emden type transformation and an energy functional, which replaces the usual Pohozaev identity. This is a generalization of the classical result about Laplace operator with super critical exponent. |
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