MULTIPLE POSITIVE SOLUTIONS FOR THE M-LAPLACIAN AND A NONLINEARITY WITH MANY ZEROS

作者:Iturriaga Leonelo*; Lorca Sebastian; Massa Eugenio
来源:Differential and Integral Equations, 2017, 30(1-2): 145-159.

摘要

In this paper, we consider the quasilinear elliptic equation -Delta(m)u = lambda f(u), in a bounded, smooth and convex domain. When the nonnegative nonlinearity f has multiple positive zeros, we prove the existence of at least two positive solutions for each of these zeros, for lambda large, without any hypothesis on the behavior at infinity of f. We also prove a result concerning the behavior of the solutions as lambda -> infinity.

  • 出版日期2017-2