Quasilinear elliptic systems with right-hand side in divergence form

Elhoussine Azroul; Farah Balaadich

doi:10.1216/rmj.2020.50.1935

Abstract

We study the existence of vector-valued solutions to quasilinear elliptic systems with nonpolynomial growth, namely N-functions. Existence of solutions is shown by means of the theory of Young measures, where the right-hand side is in the divergence form.

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Elhoussine Azroul. Farah Balaadich. "Quasilinear elliptic systems with right-hand side in divergence form." Rocky Mountain J. Math. 50 (6) 1935 - 1949, December 2020. https://doi.org/10.1216/rmj.2020.50.1935

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Received: 24 February 2020; Revised: 16 May 2020; Accepted: 15 June 2020; Published: December 2020

First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.1935

Subjects:

Primary: 35D30 , 35J57 , 46E30

Keywords: Orlicz–Sobolev spaces , quasilinear elliptic systems , Weak solution , Young measures

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