A procedure for finding a subharmonic functional of a solution for the problemLu = ∑ni = 0(−1)ici Δiu = 0 in the domainE, which is either in a plane or on a line, is presented. The functional obtained is used to derive the maximum principles and uniqueness theorems for some higher order elliptic problems. The procedure proposed is also applicable to nonlinear differential equations.
關聯:
Journal of Mathematical Analysis and Applications 207(1), pp.127-157
