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Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle.
- Source :
-
Advances in Nonlinear Analysis . Mar2019, Vol. 9 Issue 1, p278-291. 14p. - Publication Year :
- 2019
-
Abstract
- In this paper, we study optimal lower and upper bounds for functionals involving the first Dirichlet eigenvalue λ F (p , Ω) {\lambda_{F}(p,\Omega)} of the anisotropic p-Laplacian, 1 < p < + ∞ {1<p<+\infty}. Our aim is to enhance, by means of the 𝒫 {\mathcal{P}} -function method, how it is possible to get several sharp estimates for λ F (p , Ω) {\lambda_{F}(p,\Omega)} in terms of several geometric quantities associated to the domain. The 𝒫 {\mathcal{P}} -function method is based on a maximum principle for a suitable function involving the eigenfunction and its gradient. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ESTIMATES
*NONLINEAR operators
*EIGENFUNCTIONS
*ELLIPTIC operators
Subjects
Details
- Language :
- English
- ISSN :
- 21919496
- Volume :
- 9
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 135879363
- Full Text :
- https://doi.org/10.1515/anona-2017-0281