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We obtain new concavity results, up to a suitable transformation, for a classof quasi-linear equations in a convex domain involving the $p$-Laplace operatorand a general nonlinearity satisfying concavity type assumptions. This providesan extension of results previously known in the literature only for the torsionand the eigenfunction equations. In the semilinear case $p = 2$ the results arealready new since they include new admissible nonlinearities.

Concavity properties for solutions to $p$-Laplace equations with concave nonlinearities