An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit |
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| Authors: | Barbara Brandolini Carlo Nitsch Cristina Trombetti |
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| Institution: | (1) Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, Austin, TX 78712-0257, USA;(2) Courant Institute, New York University, 251 Mercer Street, New York, NY 10012-1185, USA |
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| Abstract: | We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit
is dominated by the isoperimetric deficit. |
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