Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle
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Publication:2311826
DOI10.1515/anona-2017-0281zbMath1417.35080arXiv1710.03140OpenAlexW2964198078MaRDI QIDQ2311826
Nunzia Gavitone, Francesco Della Pietra, Giuseppina di Blasio
Publication date: 4 July 2019
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.03140
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Optimization of shapes other than minimal surfaces (49Q10)
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Cites Work
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- Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
- An optimal anisotropic Poincaré inequality for convex domains
- A priori estimate for the first eigenvalue of the \(p\)-Laplacian.
- On Pólya's inequality for torsional rigidity and first Dirichlet eigenvalue
- Sur la frequence fondamentale d'une membrane vibrante: evaluations par defaut et principe de maximum
- Symmetrization with respect to the anisotropic perimeter and applications
- A characterization of convex calibrable sets in \(\mathbb R^N\) with respect to anisotropic norms
- Maximum principles and their applications
- Regularity for a more general class of quasilinear equations
- Convex symmetrization and applications
- Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators
- Spectral bounds for the torsion function
- On functionals involving the torsional rigidity related to some classes of nonlinear operators
- A notion of total variation depending on a metric with discontinuous coefficients
- On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators
- Sharp estimates for the anisotropic torsional rigidity and the principal frequency
- Linear and quasilinear elliptic equations
- Bounds on the Principal Frequency of the $p$-Laplacian
- Reverse Cheeger inequality for planar convex sets
- The distance function from the boundary in a Minkowski space
- A Lower Bound for the Fundamental Frequency of a Convex Region
- Bounds for solutions of a class of quasilinear elliptic boundary value problems in terms of the torsion function
- A uniqueness proof for the Wulff Theorem
- On the mean value of the fundamental mode in the fixed membrane problem
- On two functionals involving the maximum of the torsion function
- Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators
- The Isoperimetric Problem for Minkowski Area
- Uniqueness of the Cheeger set of a convex body
- A strong comparison principle for positive solutions of degenerate elliptic equations
