Very general nonvariational elliptic equations of $ p$-Laplacian type are treated. An optimal Calderón-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. Byun
Membro del Collaboration Group
;
D. K. Palagachev
Membro del Collaboration Group
;
Lyoubomira Softova
Membro del Collaboration Group
2020

Abstract

Very general nonvariational elliptic equations of $ p$-Laplacian type are treated. An optimal Calderón-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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4740671
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