A stability result for -harmonic systems with discontinuous coefficients.
Stroffolini, Bianca (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “A regularity property of -harmonic functions.”
A stability result for -harmonic systems with discontinuous coefficients.
Caccioppoli estimates and very weak solutions of elliptic equations
Tadeusz Iwaniec, Carlo Sbordone (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Caccioppoli estimates are instrumental in virtually all analytic aspects of the theory of partial differential equations, linear and nonlinear. And there is always something new to add to these estimates. We emphasize the fundamental role of the natural domain of definition of a given differential operator and the associated weak solutions. However, we depart from this usual setting (energy estimates) and move into the realm of the so-called very weak solutions where important new applications...
Some priori estimates about solutions to nonhomogeneous -harmonic equations.
Zhu, Jianmin, Li, Jun (2010)
Journal of Inequalities and Applications [electronic only]
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On embeddings, traces and multipliers in harmonic function spaces
Miloš Arsenović, Romi F. Shamoyan (2013)
Kragujevac Journal of Mathematics
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-regularity for systems of PDE’s, with coefficients in VMO
Chiarenza, Filippo
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A compactness theorem of n-harmonic maps
Chang You Wang (2005)
Annales de l'I.H.P. Analyse non linéaire
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Variable Lebesgue norm estimates for BMO functions
Mitsuo Izuki, Yoshihiro Sawano (2012)
Czechoslovak Mathematical Journal
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In this paper, we are going to characterize the space through variable Lebesgue spaces and Morrey spaces. There have been many attempts to characterize the space by using various function spaces. For example, Ho obtained a characterization of with respect to rearrangement invariant spaces. However, variable Lebesgue spaces and Morrey spaces do not appear in the characterization. One of the reasons is that these spaces are not rearrangement invariant. We also obtain an analogue...