Multiplicity results for sign changing bound state solutions of a semilinear equation

[摘要] In this paper we give conditions on f so that the problem Delta u + f (u) = 0, x is an element of R-N, N >= 2, has at least two radial bound state solutions with any prescribed number of zeros, and such that u (0) belongs to a specific subinterval of (0, infinity). This property will allow us to give conditions on f so that this problem has at least any given number of radial solutions having a prescribed number of zeros. (C) 2015 Elsevier Inc. All rights reserved.

[发布日期] 2015-12-15