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Balance between degenerate elliptic operators and coercive Hamiltonians
For $p>1$, we consider the boundary value problem for fully nonlinear degenerate elliptic equations $-λ_i(D^2u)+|Du|^p+γu=f(x)$ in bounded domains with Dirichlet or boundary blow-up conditions; here $λ_i(D^2u)$ denotes the $i$-th eigenvalue of the Hessian. We study existence and nonexistence of solu
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