Communications of the Moscow mathematical society: Optimality conditions for quasi-linear differential equations with non-local boundary conditions

摘要

(A4) the function f(z,w, q, u) is continuous with respect to w, q, u and has continuous partial derivatives f′_w and f′_q which are continuous with respect to the same arguments as f, and the function F is continuous with respect to w1, w2, u1, u2, continuously differentiable with respect to w1, w2, and belongs to the space L_p(G) with p > 2;