Results 11 to 20 of about 36,594 (305)
INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN [PDF]
Проблемы анализа, 2013 Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions.
VUORINEN M, BHAYO B. A
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Solving the $p$-Laplacian on manifolds [PDF]
Proceedings of the American Mathematical Society, 1999 Summary: We prove that the equation \(\Delta_{p}u+h=0\) on a \(p\)-hyperbolic manifold \(M\) has a solution with \(p\)-integrable gradient for any bounded measurable function \(h : M \to \mathbb R\) with compact support.
Marc Troyanov
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Some Liouville Theorems for the p-Laplacian
Electronic Journal of Differential Equations, 2001 We present several Liouville type results for the $p$-Laplacian in $\R^N$. Suppose that $h$ is a nonnegative regular function such that $$ h(x) = a|x|^\gamma\ {\rm for}\ |x|\ {\rm large},\ a>0\ {\rm and}\ \gamma> -p.
Birindelli, I., Demengel, F.
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Introducing the p-Laplacian Spectra [PDF]
Signal Processing, 2019 In this work we develop a nonlinear decomposition, associated with nonlinear eigenfunctions of the p-Laplacian for p \in (1, 2). With this decomposition we can process signals of different degrees of smoothness. We first analyze solutions of scale spaces, generated by -homogeneous operators, \in R. An analytic solution is formulated when the scale
I. Bernard Cohen, Guy Gilboa
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Lower bounds for the first eigenvalues of the p-Laplacian and the weighted p-Laplacian [PDF]
Mathematical Inequalities & Applications, 2020 Summary: In this paper, we investigate the \(p\)-Laplacian \(\Delta_p\) on a complete noncompact submanifold of a Riemannian manifold with sectional curvature bounded above by a negative constant. Moreover, we study the weighted \(p\)-Laplacian \(\Delta_{p,\varphi}\) on an \(n\)-dimensional complete noncompact smooth metric measure space \((M,g,e ...
Sun, He-Jun +2 more
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On the eigenvectors of p-Laplacian [PDF]
Machine Learning, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Dijun +3 more
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, 2023 We generalise the dynamic Laplacian introduced in (Froyland, 2015) to a dynamic $p$-Laplacian, in analogy to the generalisation of the standard $2$-Laplacian to the standard $p$-Laplacian for $p>1$. Spectral properties of the dynamic Laplacian are connected to the geometric problem of finding "coherent" sets with persistently small boundaries under ...
de Diego Unanue, Alvaro +3 more
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Applied Mathematics Letters, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binding, P. A. +2 more
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Eigenvalues homogenization for the fractional p-Laplacian
Electronic Journal of Differential Equations, 2016 In this work we study the homogenization for eigenvalues of the fractional p-Laplace operator in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates when
Ariel Martin Salort
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On the Fučí k spectrum for the $p$-Laplacian
Differential and Integral Equations, 2001 The structure of the set \(\{(\alpha, \beta) \in \mathbb R^2\): the problem \(-\Delta_p u = \alpha (u^+)^{p-1} - \beta (u^-)^{p-1}\) in \(\Omega\), \(u=0\) on \(\partial\Omega\) has a nontrivial solution\} is studied. See also \textit{N. Dancer} and \textit{K. Perera} [J. Math. Anal. Appl. 254, 164-177 (2001; Zbl 0970.35056)].
MICHELETTI, ANNA MARIA, A. PISTOIA
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