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Articles 2 records found  
1.
17 p, 796.3 KB Besov regularity for solutions of p-harmonic equations / Clop, Albert (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giova, Raffaella (Università degli Studi di Napoli "Parthenope". Dipartimento di Studi Economici e Giuridici) ; Passarelli Di Napoli, Antonia (Università degli Studi di Napoli "Federico II". Dipartimento di Matematica e Applicazioni "R. Caccioppoli")
We establish the higher fractional differentiability of the solutions to nonlinear elliptic equations in divergence form, i. e. , divA(x, Du) = div F, when A is a p-harmonic type operator, and under the assumption that x → A(x, ζ) belongs to the critical Besov-Lipschitz space B We prove that some fractional differentiability assumptions on F transfer to Du with no losses in the natural exponent of integrability. [...]
2019 - 10.1515/anona-2017-0030
Advances in Nonlinear Analysis, Vol. 8, Issue 1 (January 2019) , p. 762-778  
Detailed record - Creative Commons
2.
17 p, 344.3 KB Boundedness of rough integral operators on Triebel-Lizorkin spaces / Al-Qassem, H. M. ; Cheng, L. C. ; Pan, Y.
We prove the boundedness of several classes of rough integral operators on Triebel-Lizorkin spaces. Our results represent improvements as well as natural extensions of many previously known results.
2012 - 10.5565/PUBLMAT_56212_01
Publicacions matemàtiques, Vol. 56, Núm. 2 (2012) , p. 261-277  
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