Commutator of Riesz potential in p-adic generalized Morrey spaces
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DOI: 10.1007/s11464-018-0696-x
Abstract: Suppose that Ipα is the p-adic Riesz potential. In this paper, we established the boundedness of Ipα on the p-adic generalized Morrey spaces, as well as the boundedness of the commutators generated by the p-adic… read more here.
Keywords: riesz potential; adic generalized; morrey spaces; potential adic ... See more keywords
Riesz potential type estimates for nonlinear elliptic equations
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DOI: 10.1016/j.jde.2017.07.031
Abstract: Abstract For p ≥ 2 , we study nonlinear elliptic equations of p -Laplacian type with measure data div a ( D u , u , x ) = μ in Ω when the nonlinearity… read more here.
Keywords: riesz potential; potential type; type estimates; elliptic equations ... See more keywords
Compactness of Commutators for Riesz Potential on Generalized Morrey Spaces
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DOI: 10.3390/math12020304
Abstract: In this paper, we give the sufficient conditions for the compactness of sets in generalized Morrey spaces Mpw(·). This result is an analogue of the well-known Fréchet–Kolmogorov theorem on the compactness of a set in… read more here.
Keywords: potential generalized; morrey spaces; generalized morrey; compactness commutators ... See more keywords
Symmetry Group Classification and Conservation Laws of the Nonlinear Fractional Diffusion Equation with the Riesz Potential
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DOI: 10.3390/sym12010178
Abstract: Symmetry properties of a nonlinear two-dimensional space-fractional diffusion equation with the Riesz potential of the order α ∈ ( 0 , 1 ) are studied. Lie point symmetry group classification of this equation is performed… read more here.
Keywords: equation; fractional diffusion; riesz potential; conservation laws ... See more keywords