Results 11 to 20 of about 43,664 (246)
Higher differentiability for the fractional p-Laplacian
Mathematische AnnalenDiening L, Kim K, Lee H-S, Nowak SN. Higher differentiability for the fractional p-Laplacian. Mathematische Annalen. 2025;391:5631–5693.In this work, we study the higher differentiability of solutions to the inhomogeneous fractional $p$-Laplace equation ...
Kim, Kyeongbae +3 more
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Calderón-Zygmund estimates for the fractional p-Laplacian
Annals of PDEDiening L, Nowak SN. Calderón-Zygmund estimates for the fractional p-Laplacian. Annals of PDE. 2025;11: 6.We prove fine higher regularity results of Calderón-Zygmund-type for equations involving nonlocal operators modelled on the fractional $p$-Laplacian
Diening, Lars ; https://orcid.org/ +1 more
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Multiplicity for fractional differential equations with p-Laplacian [PDF]
Boundary Value Problems, 2018 This paper investigates the existence of positive solution for a boundary value problem of fractional differential equations with p-Laplacian operator. Our analysis relies on the research of properties of the corresponding Green’s function. By the use of
Yuansheng Tian, Yongfang Wei, Sujing Sun
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Existence theorems for fractional p-Laplacian problems
Analysis and Applications, 2017 The paper focuses on the existence of nontrivial solutions of a nonlinear eigenvalue perturbed problem depending on a real parameter under homogeneous boundary conditions in bounded domains with Lipschitz boundary.
Paolo Piersanti +3 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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Eigenvalue of Fractional Differential Equations with p-Laplacian Operator [PDF]
Discrete Dynamics in Nature and Society, 2013 We investigate the existence of positive solutions for the fractional order eigenvalue problem with p-Laplacian operator -𝒟tβ(φp(𝒟tαx))(t)=λf(t,x(t)), t∈(0,1), x(0)=0, 𝒟tαx(0)=0, 𝒟tγx(1)=∑j=1m-2aj𝒟tγx(ξj), where 𝒟tβ, 𝒟tα, 𝒟tγ are the standard ...
Wenquan Wu, Xiangbing Zhou
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The fundamental solution of the fractional p-laplacian
Nonlinear Differential Equations and Applications NoDEAIn this article, we find the fundamental solution of the fractional p-laplacian and use them to prove two different Liouville-type theorems. A non-existence classical Liouville-type theorem for p-superharmonic and a Louville type results for an Emden ...
Del Pezzo, Leandro M., Quaas, Alexander
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Hölder regularity for parabolic fractional p-Laplacian. [PDF]
Calc Var Partial Differ Equ, 2023 AbstractLocal Hölder regularity is established for certain weak solutions to a class of parabolic fractional p-Laplace equations with merely measurable kernels. The proof uses DeGiorgi’s iteration and refines DiBenedetto’s intrinsic scaling method. The control of a nonlocal integral of solutions in the reduction of oscillation plays a crucial role and ...
Liao N.
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Neumann fractional p-Laplacian: Eigenvalues and existence results
, 2019 This is the accepted manuscript of the paper "Neumann fractional p-Laplacian: Eigenvalues and existence results", published in "Nonlinear Analysis: Theory, Methods and Applications Volume 188, (2019) 455–474 https://doi.org/10.1016/j.na.2019.06 ...
Mugnai, Dimitri, Proietti Lippi, Edoardo
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Monotonicity results for the fractional p-Laplacian in unbounded domains
Bulletin of Mathematical Sciences, 2021 In this paper, we develop a direct method of moving planes in unbounded domains for the fractional p-Laplacians, and illustrate how this new method to work for the fractional p-Laplacians.
Leyun Wu, Mei Yu, Binlin Zhang
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