Ly, IdrissaSeck, Diaraf2021-05-032021-05-032004-09-14Ly, I., & Seck, D. (2004). Isoperimetric inequality for an interior free boundary problem with p-laplacian operator. <i>Electronic Journal of Differential Equations, 2004</i>(109), pp. 1-12.1072-6691https://hdl.handle.net/10877/13482By considering the p-Laplacian operator, we establish an existence and regularity result for a shape optimization problem. 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 of the Bernoulli constant.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalBernoulli free boundary problemStarshaped domainShape optimizationShape derivativeMonotonyArticle