Results 1 to 10 of about 35,592 (307)
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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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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The Beginning of the Fučik Spectrum for the p-Laplacian
Journal of Differential Equations, 1999 has a nontrivial solution u.
Mabel Cuesta +2 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 -homogeneous operators, \in R. An analytic solution is formulated when the scale
Ido Cohen, Guy Gilboa
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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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INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN [PDF]
Issues of Analysis, 2013 19 ...
Bhayo, B., Vuorinen, M.
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On the eigenvectors of p-Laplacian [PDF]
Machine Learning, 2010 Spectral analysis approaches have been actively studied in machine learning and data mining areas, due to their generality, efficiency, and rich theoretical foundations. As a natural non-linear generalization of Graph Laplacian, p-Laplacian has recently been proposed, which interpolates between a relaxation of normalized cut and the Cheeger cut ...
Dijun Luo +3 more
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Blow-up in a p-Laplacian mutualistic model based on graphs
AIMS Mathematics, 2023 In this paper, we study a $ p\, $-Laplacian ($ p > 2 $) reaction-diffusion system based on weighted graphs that is used to describe a network mutualistic model of population ecology.
Ling Zhou, Zuhan Liu
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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 ...
Unanue, Alvaro de Diego +3 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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