科研之友
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摘要
Using the moving plane method, we obtain a Lionville type theorem for nonnegative solutions of the Neumann problem @@@ {div (y alpha del u(x, y)) = 0, x is an element of R-n, y > 0, lim (y -> 0+) y(alpha)u(y)(x, y) = f(u(x, 0)), x is an element of R-n, @@@ under general nonlinearity assumptions on the function f : R -> R for any constant alpha is an element of (-1,1).
