Abstract
In this Note, considering the p-Laplacian operator, we first establish an existence and regularity result for an optimisation problem of form. From a monotony result we show the existence of a solution to the interior problem with a free surface for a family of Bernoulli constants; we also give an optimal estimation for the upper bound for the Bernoulli constant. To cite this article: I. Ly, D. Seck, C. R. Acad. Sci. Paris, Ser. I 337 (2003).
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