Results 11 to 20 of about 20,082 (264)
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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SIAM Journal on Mathematical Analysis, 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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Introducing the p-Laplacian spectra [PDF]
Signal Processing, 2020 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 γ-homogeneous operators, γ \in R.
Ido Cohen 0001, Guy Gilboa
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CoRR, 2023 $p$-Laplacian regularization, rooted in graph and image signal processing, introduces a parameter $p$ to control the regularization effect on these data. Smaller values of $p$ promote sparsity and interpretability, while larger values encourage smoother solutions.
Tuan Nguyen +3 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.
Dijun Luo +3 more
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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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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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Weak perturbations of the p-Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2014 We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p>d and p=d and discuss the connection with Sobolev interpolation inequalities.
Ekholm, Tomas +2 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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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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