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On quasilinear elliptic systems with growth conditions in Orlicz–Sobolev spaces

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Abstract

Our purpose is to establish the existence of weak solutions to quasilinear elliptic systems in divergence form with nonstandard growth conditions in Orlicz–Sobolev spaces. The existence proof is based on Galerkin approximations and the theory of Young measures.

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Authors and Affiliations

  1. Faculty of Sciences Dhar El Mehraz, University of Sidi Mohamed Ben Abdellah, B.P. 1796, Atlas, Fez, Morocco

    Farah Balaadich & Elhoussine Azroul

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  1. Farah Balaadich
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  2. Elhoussine Azroul
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Correspondence to Farah Balaadich.

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Communicated by Jaime Angulo Pava.

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Balaadich, F., Azroul, E. On quasilinear elliptic systems with growth conditions in Orlicz–Sobolev spaces. São Paulo J. Math. Sci. 17, 994–1005 (2023). https://doi.org/10.1007/s40863-022-00289-w

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