Eigenvalue estimate for the weighted \(p\)-Laplacian
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Publication:1953879
DOI10.1007/s10231-011-0195-0zbMath1267.53041OpenAlexW2038709971MaRDI QIDQ1953879
Publication date: 12 June 2013
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-011-0195-0
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
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- A homotopy approach to solving the inverse mean curvature flow
- The inverse mean curvature flow and \(p\)-harmonic functions
- Local behaviour of solutions to doubly nonlinear parabolic equations
- The upper bound of the \({{\text L}_{\mu}^2}\) spectrum
- Regularity for a more general class of quasilinear equations
- On the first eigenvalue of the \(p\)-Laplacian in a Riemannian manifold
- Some geometric properties of the Bakry-Émery-Ricci tensor
- The inverse mean curvature flow and the Riemannian Penrose inequality
- A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
- First eigenvalue for the \(p\)-Laplace operator
- Local behavior of solutions of quasi-linear equations
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
- Elliptic Partial Differential Equations of Second Order