Existence of solutions for prescribed variable exponent mean curvature system boundary value problems Original Research Article

This paper generalized the usual mean curvature systems to variable exponent mean curvature systems, and investigates the existence of solutions for a prescribed variable exponent mean curvature ordinary system boundary value problems via Leray–Schauder degree, and the sufficient conditions for the existence of solutions are given. Moreover, the boundary asymptotic behavior of solutions have been discussed.