Results 21 to 30 of about 27,734 (203)
Linking over cones for the Neumann fractional p-Laplacian [PDF]
Journal of Differential Equations, 2021 We consider nonlinear problems governed by the fractional $p-$Laplacian in presence of nonlocal Neumann boundary conditions. We face two problems. First: the $p-$superlinear term may not satisfy the Ambrosetti-Rabinowitz condition. Second, and more important: although the topological structure of the underlying functional reminds the one of the linking
Mugnai, Dimitri, Proietti Lippi, Edoardo
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Fractional p-Laplacian evolution equations
Journal de Mathématiques Pures et Appliquées, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazón, José M. +2 more
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Spectral Stability for the Peridynamic Fractional p-Laplacian
Applied Mathematics & Optimization, 2021 In this work we analyze the behavior of the spectrum of the peridynamic fractional $p$-Laplacian, $(- _p)_ ^s$, under the limit process $ \to0^+$ or $ \to+\infty$. We prove spectral convergence to the classical $p$-Laplacian under a suitable scaling as $ \to0^+$ and to the fractional $p$-Laplacian as $ \to+\infty$.
José C. Bellido, Alejandro Ortega
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The fractional p-Laplacian on hyperbolic spaces
, 2023 Abstract Note: Please see pdf for full abstract with equations. We present three equivalent definitions of the fractional p-Laplacian (−ΔHn)sp, 0 < s < 1, p > 1, with normalizing constants, on the hyperbolic spaces. The explicit values of the constants enable us to study the convergence of the fractional p-Laplacian to the p-Laplacian ...
Kim, Jongmyeong +2 more
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Global Hölder regularity for the fractional $p$-Laplacian [PDF]
Revista Matemática Iberoamericana, 2016 By virtue of barrier arguments we prove C^\alpha -regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional p -
IANNIZZOTTO, ANTONIO +2 more
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The second eigenvalue of the fractional p-Laplacian [PDF]
Advances in Calculus of Variations, 2016 AbstractWe consider the eigenvalue problem for the fractional p-Laplacian in an open bounded, possibly disconnected set ${\Omega\subset\mathbb{R}^{n}}$, under homogeneous Dirichlet boundary conditions. After discussing some regularity issues for eigenfunctions, we show that the second eigenvalue ${\lambda_{2}(\Omega)}$ is well-defined, and we ...
BRASCO, Lorenzo, Parini, Enea
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Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional 𝑝-Laplacian
Advanced Nonlinear Studies, 2020 In this paper, we consider a class of critical concave convex Ambrosetti–Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with ...
Bueno H. P. +3 more
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An optimal mass transport approach for limits of eigenvalue problems for the fractional $p$-Laplacian [PDF]
, 2015 We find interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional $p-$Laplacian operators as $p\to +\infty$.
Del Pezzo, L. M. +3 more
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Open Mathematics, 2022 While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
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Assessing Age-Associated Influences on Paramagnetic and Diamagnetic Susceptibility Maps in Postmortem Human Brains. [PDF]
NMR BiomedWe applied the APART‐QSM method to in situ postmortem MRI from 47 subjects (31–91 years) to assess age effects on paramagnetic and diamagnetic susceptibility. Diamagnetic susceptibility declined with age in basal ganglia, possibly reflecting shared biological factors.
de Azevedo JHM +7 more
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