@article{Shin2025, 
author = {Pilsoo Shin and Yeonghun Youn},
title = {Generalized structural conditions for a Calderón-Zygmund theory on double phase problems},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {25434-25451},
keywords = {double phase problems, discontinuous coefficients, Calderón-Zygmund theory, nonlinear elliptic equations, calculus of variations},
url = {https://www.sciopen.com/article/10.3934/math.20251126},
doi = {10.3934/math.20251126},
abstract = {In this paper,  we considered a general class of double-phase problems of the form     −                    d        i        v              (  A  (  x  ,  D  u  )  )  =  −                    d        i        v              (  B  (  x  ,  F  )  )  .Here,  the ellipticity,  growth,  and continuity assumptions on the main operator    A were described using an auxiliary vector field    G. The proposed structural condition allowed us to treat,  in a single setting,  different structural forms that have appeared in earlier studies. Under this generalized structure,  we derived Calderón-Zygmund estimates for the gradients of solutions.}
}