Uniqueness of Radial Solutions for Elliptic Equation Involving the Pucci Operator

DOI: 10.4236/apm.2012.26061   PDF   HTML   XML   4,025 Downloads   6,042 Views  

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.

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Y. Liu, "Uniqueness of Radial Solutions for Elliptic Equation Involving the Pucci Operator," Advances in Pure Mathematics, Vol. 2 No. 6, 2012, pp. 408-412. doi: 10.4236/apm.2012.26061.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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