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Tuesday, March 3, 2026 - 14:15 in V5-148


Local boundedness of weak solutions to elliptic equations under unbalanced Orlicz growths

A talk in the BI.discrete series by
Gabrielle Giannone from Florenz

Abstract: We present sufficient conditions for the local boundedness of weak solutions to a broad class of nonlinear elliptic equations in divergence form, under unbalanced growth conditions on the stress field. Our analysis is carried out in a non-variational setting, with no symmetry or structural assumptions on the operator. The ellipticity and growth are prescribed via distinct Young functions, leading to a Orlicz-type setting. As a special case, the theory encompasses and extends the known results on equations with p,q-growth.

Within the CRC this talk is associated to the project(s): A7, B7



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