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The fundamental solution of the fractional $$p-$$laplacian [PDF]
Nonlinear Differential Equations and Applications NoDEA28 ...
Del Pezzo, Leandro M., Quaas, Alexander
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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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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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Neumann fractional $p-$Laplacian: eigenvalues and existence results [PDF]
, 2019 We develop some properties of the $p-$Neumann derivative for the fractional $p-$Laplacian in bounded domains with general $p>1$. In particular, we prove the existence of a diverging sequence of eigenvalues and we introduce the evolution problem associated to such operators, studying the basic properties of solutions.
Mugnai, Dimitri, Proietti Lippi, Edoardo
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A note on fractional $p$-Laplacian problems with singular weights [PDF]
, 2016 Dedicated with admiration to Paul Rabinowitz, a master in Nonlinear Analysis, 13 ...
Ho, K. +3 more
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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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The fractional p-Laplacian on hyperbolic spaces
Mathematics in Engineering, 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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Eigenvalues for systems of fractional $p$-Laplacians [PDF]
Rocky Mountain Journal of Mathematics, 2018 19 ...
Pezzo, Leandro M. Del, Rossi, Julio D.
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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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