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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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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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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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$Kite_{p+2,p}$ 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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Radial symmetry for a generalized nonlinear fractional p-Laplacian problem
Nonlinear Analysis, 2021 This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou +3 more
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