摘要

In this paper, we study the Emden-Fowler equation whose coefficient is even in the interval (-1,1) under the Dirichlet boundary condition. We prove that if the density of the coefficient function is thin in the interior of (-1,1) and thick on the boundary, then a least energy solution is not even. Therefore the equation has at least three positive solutions: the first one is even, the second one is a non-even least energy solution u(t) and the third one is the reflection u(t).

  • 出版日期2012-4