Results 11 to 20 of about 24,170,313 (193)
Asymmetric critical fractional p-Laplacian problems [PDF]
Electronic Journal of Differential Equations, 2017 We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
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Fractional p&q-Laplacian problems with potentials vanishing at infinity [PDF]
Opuscula Mathematica, 2020 In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional \(p\&q\)-Laplacian problems \[\begin{aligned} (-\Delta)_{p}^{s} u + (-\Delta)_{q}^{s} u + V(x) (|u|^{p-2}u + |u|^{q-2}u)= K(
Teresa Isernia
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On Shape Optimization Theory With Fractional p-Laplacian Operators
Abstract and Applied AnalysisThe focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where ...
Malick Fall +3 more
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Fractional p-Laplacian equations on Riemannian manifolds [PDF]
Electronic Journal of Differential Equations, 2018 In this article we establish the theory of fractional Sobolev spaces on Riemannian manifolds. As a consequence we investigate some important properties, such as the reflexivity, separability, the embedding theorem and so on.
Lifeng Guo, Binlin Zhang, Yadong Zhang
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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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Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]
, 2009 Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
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Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian [PDF]
, 2014 We consider a class of partial differential equations with the fractional Laplacian and the homogeneous Dirichlet boundary data. Some sufficient condition under which the solutions of the equations considered depend continuously on parameters is stated ...
Bors, Dorota
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IEEE Access, 2019 Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang +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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A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces
Abstract and Applied Analysis, 2013 We study a class of nonlinear fractional integrodifferential equations with p-Laplacian operator in Banach space. Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractional p-Laplacian equations ...
Yiliang Liu, Liang Lu
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