On the first nontrivial eigenvalue of the ∞-laplacian with neumann boundary conditions
We study the limit as p → ∞ of the first non-zero eigenvalue of the p-Laplacian with Neumann boundary conditions in a smooth bounded domain U We prove that = 2=diam(U), where diam(U) denotes the diameter of U with respect to the geodesic distance in U. We can think of as the first eigenvalue of the...
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University of Houston
2016
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| 008 | 190411s2016 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84978708949 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Rossi, J.D. | |
| 245 | 1 | 3 | |a On the first nontrivial eigenvalue of the ∞-laplacian with neumann boundary conditions |
| 260 | |b University of Houston |c 2016 | ||
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Navarro, J.C., Rossi, J.D., Saintier, N., San Antolin, A., The dependence of the first eigenvalue of the infinity Laplacian with respect to the domain Glasgow Mathematical Journal, to Appear | ||
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| 520 | 3 | |a We study the limit as p → ∞ of the first non-zero eigenvalue of the p-Laplacian with Neumann boundary conditions in a smooth bounded domain U We prove that = 2=diam(U), where diam(U) denotes the diameter of U with respect to the geodesic distance in U. We can think of as the first eigenvalue of the Laplacian with Neumann boundary conditions. We also study the regularity of as a function of the domain U proving that under a smooth perturbation Ut of U by diffeomorphisms close to the identity there holds that (U)+O(t). Although (Ut) is in general not differentiable at t = 0, we show that in some cases it is so with an explicit formula for the derivative. © 2016 University of Houston. |l eng | |
| 593 | |a CONICET, Dep. de Matematica, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pab 1 (1428), Buenos Aires, Argentina | ||
| 593 | |a Dep. de Matematica, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pab 1 (1428), Buenos Aires, Argentina | ||
| 593 | |a Instituto de Ciencias, Univ. Nac. Gral Sarmiento, J. M. Gutierrez 1150, Los Polvorines-Pcia de Bs. As, C.P. 1613, Argentina | ||
| 690 | 1 | 0 | |a EIGENVALUE PROBLEMS |
| 690 | 1 | 0 | |a FIRST VARIATIONS |
| 690 | 1 | 0 | |a INFINITY LAPLACIAN |
| 700 | 1 | |a Saintier, N. | |
| 773 | 0 | |d University of Houston, 2016 |g v. 42 |h pp. 613-635 |k n. 2 |p Houst. J. Math. |x 03621588 |t Houston Journal of Mathematics | |
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| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03621588_v42_n2_p613_Rossi |y Handle |
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| 999 | |c 77379 | ||