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June  2010, 28(2): 845-863. doi: 10.3934/dcds.2010.28.845

A Neumann eigenvalue problem for fully nonlinear operators

Isabeau Birindelli 1, and  Stefania Patrizi 1,

1. 

Dipartimento di matematica "G. Castelnuovo”, Sapienza Università di Roma, Piazzale A. Moro 5, 00185 Roma, Italy, Italy

Received  March 2010 Revised  April 2010 Published  April 2010

We prove the existence of the principal eigenvalues for the Pucci operators in bounded domains with boundary condition $\frac{\partial u}{\partial\vec n}=\alpha u$ corresponding respectively to positive and negative eigenfunctions and study their asymptotic behavior when $\alpha$ goes to $+\infty$.
Keywords: Eigenvalues, fully-nonlinear, Robin boundary condition..
Mathematics Subject Classification: Primary: 35D40, 35J25; Secondary: 35P3.
Citation: Isabeau Birindelli, Stefania Patrizi. A Neumann eigenvalue problem for fully nonlinear operators. Discrete and Continuous Dynamical Systems, 2010, 28 (2) : 845-863. doi: 10.3934/dcds.2010.28.845
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