Isoperimetric inequality for an interior free boundary problem with p-laplacian operator
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Date
2004-09-14
Authors
Ly, Idrissa
Seck, Diaraf
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
By 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.
Description
Keywords
Bernoulli free boundary problem, Starshaped domain, Shape optimization, Shape derivative, Monotony
Citation
Ly, 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.
Rights
Attribution 4.0 International