Abstract. We study a class of quasilinear elliptic systems in Sobolev spaces. We prove the existence of a weak solution via Young measures.

DOI: 10.14232/actasm-020-910-z

AMS Subject Classification (1991): 35J57, 35D30, 46E30

Keyword(s): quasilinear elliptic systems, weak solutions, Young measures

received 10.4.2020, revised 29.3.2021, accepted 7.4.2021. (Registered under 410/2020.)