An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866910635465375744 |
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| author | Della Pietra, Francesco Piscitelli, Gianpaolo |
| author_facet | Della Pietra, Francesco Piscitelli, Gianpaolo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_13840 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes Della Pietra, Francesco Piscitelli, Gianpaolo Analysis of PDEs Optimization and Control 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. |
| title | An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2005.13840 |