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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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On the fractional p-Laplacian problems [PDF]
Journal of Inequalities and Applications, 2021 This paper deals with nonlocal fractional p-Laplacian problems with difference. We get a theorem which shows existence of a sequence of weak solutions for a family of nonlocal fractional p-Laplacian problems with difference.
Q-Heung Choi, Tacksun Jung
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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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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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A Concentration Phenomenon for p-Laplacian Equation [PDF]
Journal of Applied Mathematics, 2014 It is proved that if the bounded function of coefficient Qn in the following equation -div {|∇u|p-2∇u}+V(x)|u|p-2u=Qn(x)|u|q-2u, u(x)=0 as x∈∂Ω. u(x)⟶0 as |x|⟶∞ is positive in a region contained in Ω and negative outside the region, the sets {Qn ...
Yansheng Zhong
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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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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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$Kite_{p+2,p}$ is determined by its Laplacian spectrum [PDF]
Transactions on Combinatorics, 2021 $Kite_{n,p}$ denotes the kite graph that is obtained by appending complete graph with order $p\geq4$ to an endpoint of path graph with order $n-p$. It is shown that $Kite_{n,p}$ is determined by its adjacency spectrum for all $p$ and $n$ [H.
Hatice Topcu
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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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Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent [PDF]
Opuscula Mathematica, 2022 Using the Dual Fountain Theorem we obtain some existence of infinitely many solutions for local and nonlocal elliptic equations with variable exponent. Our results correct some of the errors that have appeared recently in the literature.
Robert Stegliński
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