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Steiner Symmetrization and Periodic Solutions of Boundary Value Problems

Steiner Symmetrization and Periodic Solutions of Boundary Value Problems

Let 1 .= f(x,y) denote the monotone decreasing rearrangement of a function f = f(x ) y) with respect to y.If -u = f, -v = f in the domain Il = (0,1) x (0,1) and Ou = = 0 on the boundary 81 of 1, then oscu < oscv, …