In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes. An analogous estimate is obtained for the corresponding torsional rigidity problem.
An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes / DELLA PIETRA, Francesco; Piscitelli, Gianpaolo. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - (2020). [10.1007/s00032-020-00320-9]
An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
Francesco Della Pietra
;Gianpaolo Piscitelli
2020
Abstract
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes. An analogous estimate is obtained for the corresponding torsional rigidity problem.File in questo prodotto:
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