Uniqueness for unbounded solutions to stationary viscous Hamilton-Jacobi equations

Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 5 (1):107-136 (2006)
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Abstract

We consider a class of stationary viscous Hamilton-Jacobi equations aswhere $\lambda \ge 0$, $A$ is a bounded and uniformly elliptic matrix and $H$ is convex in $\xi $ and grows at most like $|\xi |^q+f$, with $1

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