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math.AP2025
Elliptic systems in Orlicz-Sobolev spaces with critical sources in bounded domains
Pablo Ochoa
In this paper, we show the existence of non-trivial solutions to very general elliptic systems with critical non-linearities in the sense of embeddings in Orlicz-Sobolev spaces. Th…
math.AP2025
Calderón-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces
Julián Fernández Bonder, Pablo Ochoa, Analía Silva
In this paper we obtain Calderón-Zygmund estimates for the laplacian of the following fourth order quasilinear elliptic problem where the primitive o…