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.
"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