| In this paper, we consider the existence and nonexistence of the positive solutions for p-Laplace equation with the Robin boundary value condition in half space.whereis a constant, N is the dimension ofthe space.The organization of this paper is as follows:In section 1, as the introduction, we list the research situation in the field relative to the existence and nonexistence of the positive solutions for p-Laplace equation with the Robin boundary value condition in half space and major results of this paper.In section 2, we verify the condition (2.13) hold naturally by using the ground state solution in whole space corresponding to (1.1), and the fact .In section 3, we first discuss some properties of the solutions of (1.1)~*, and then prove the nonexistence of the solution of (1.1)~* for p = 2, N≥2,λ<—1 and p = 2, N = 1, X > 1 by introduce a special singular functionφwhich is the solution of... |
