Very general nonvariational elliptic equations of p-Laplacian type are treated. An optimal Calderon-Zygmund theory is developed for such a nonlinear elliptic equation in divergence form in the setting of various function spaces including Lebesgue spaces, Orlicz spaces, weighted Orlicz spaces, and variable exponent Lebesgue spaces. The addressed arguments also apply to Morrey spaces, Lorentz spaces and generalized Orlicz spaces.
Survey on gradient estimates for nonlinear elliptic equations in various function spaces
S. -S. ByunMembro del Collaboration Group
;D. K. PalagachevMembro del Collaboration Group
;Lyoubomira Softova
Membro del Collaboration Group
2020
Abstract
Very general nonvariational elliptic equations of p-Laplacian type are treated. An optimal Calderon-Zygmund theory is developed for such a nonlinear elliptic equation in divergence form in the setting of various function spaces including Lebesgue spaces, Orlicz spaces, weighted Orlicz spaces, and variable exponent Lebesgue spaces. The addressed arguments also apply to Morrey spaces, Lorentz spaces and generalized Orlicz spaces.File in questo prodotto:
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