| Abstract: |
| We introduce a generalization of De Giorgi classes with Orlicz growth. The aim is twofold: on the one hand, to encompass a broader class of functionals and equations; on the other hand, to provide a definition based on a simple energy inequality that does not rely on an underlying functional, but rather on the intrinsic scaling between radii and levels. For these classes, we establish a Weak Harnack inequality, thereby unifying its validity across non-uniformly elliptic equations, double-phase and degenerate double-phase functionals, as well as functionals with variable exponents. |
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