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Uniqueness of Radial Solutions for Elliptic Equation Involving the Pucci Operator

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DOI: 10.4236/apm.2012.26061    3,873 Downloads   5,869 Views  
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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