Existence And Symmetry Of Positive Solutions Of Elliptic Systems In Unbounded Cylinders

This paper deals with a kind of semilinear elliptic systems with Dirichlet boundary conditions. We obtain the existence and symmetry of positive solutions, furthermore, extends the results of [1]. Also we prove the existence results by the dual variational method and mountain pass theorem, and the symmetry results by the method of moving plane.In section 1 introductionIn section 2 the main results of this paper are givenIn section 3 proof of the main resultsIn section 4 the conclusion is sketched...