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A Neumann eigenvalue problem for fully nonlinear operators

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  • 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 $+\infty$.
    Mathematics Subject Classification: Primary: 35D40, 35J25; Secondary: 35P30.

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