Results 21 to 30 of about 8,913,878 (219)
Restrictions of Riesz–Morrey potentials
Arkiv för Matematik, 2016 This paper is devoted to the study of restrictions of Riesz-Morey potentials in bounded and unbounded domains of \({\mathbb R}^n\).
Adams, David R., Xiao, Jie
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Ricardo Almeida
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Riesz potential and its commutators on generalized weighted Orlicz–Morrey spaces [PDF]
, 2022 In the present paper, we shall give a characterization for the Adams-type boundedness of the Riesz potential and its commutators on the generalized weighted Orlicz–Morrey spaces.
Guliyev V.S., Deringoz F.
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Pointwise estimates to the modified Riesz potential [PDF]
, 2017 In a smooth domain a function can be estimated pointwise by the classical Riesz potential of its gradient. Combining this estimate with the boundedness of the classical Riesz potential yields the optimal Sobolev-Poincar, inequality.
Hurri-Syrjänen, Ritva +3 more
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Local Polya fluctuations of Riesz gravitational fields and the Cauchy problem
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a pseudodifferential equation of parabolic type with a fractional power of the Laplace operator of order $\alpha\in(0;1)$ acting with respect to the spatial variable.
V.A. Litovchenko
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Riesz transform and Riesz potentials for Dunkl transform
Journal of Computational and Applied Mathematics, 2007 Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The $L^p$ boundedness of these operators is established in certain cases.
Thangavelu, Sundaram, Xu, Yuan
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An $L^1$-type estimate for Riesz potentials [PDF]
Revista Matemática Iberoamericana, 2017 In this paper we establish new L^1 -type estimates for the classical Riesz potentials of order \alpha \in (0, N) :
Armin Schikorra +2 more
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Measure Data Problems for a Class of Elliptic Equations with Mixed Absorption-Reaction
Advanced Nonlinear Studies, 2021 In the present paper, we study the existence of nonnegative solutions to the Dirichlet problem ℒp,qMu:=-Δu+up-M|∇u|q=μ{{\mathcal{L}}^{{M}}_{p,q}u:=-\Delta u+u^{p}-M|\nabla u|^{q}=\mu} in a domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} where μ is a ...
Bidaut-Véron Marie-Françoise +2 more
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WEIGHTED ESTIMATES FOR GENERALIZED RIESZ POTENTIALS
Rocky Mountain Journal of Mathematics, 2023 10 pages.
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The Hardy-Littlewood-Sobolev theorem for Riesz potential generated by Gegenbauer operator [PDF]
, 2016 In this paper we introduced and studied the maximal function (G-maximal function) and the Riesz potential (G-Riesz potential) generated by Gegenbauer differential operator Gλ=(x2−1)12−λddx(x2−1)λ+12ddx.
Ibrahimov, Elman J., Akbulut, Ali
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