Symmetry for boundary blow up solutions of elliptic equations in a half-space Original Research Article

In this paper, we consider positive solutions of the following boundary blow-up problem in half space View the MathML source where View the MathML source and the nonlinear function f(s) satisfies, for some a>0, View the MathML source Under suitable conditions, we show that this problem has only one positive solution and it must be a function of x1 only.