Document Type

Article

Department

Mathematics (HMC)

Publication Date

5-2012

Abstract

We consider the elliptic equation -Δu + u = 0 with nonlinear boundary conditions ∂u/∂n = λu + g(λ,x,u), where the nonlinear term g is oscillatory and satisfies g(λ,x,s)/s→0 as |s|→0. We provide sufficient conditions on g for the existence of sequences of resonant solutions and turning points accumulating to zero.

Rights Information

© 2012 Pacific Journal of Mathematics

Included in

Mathematics Commons

Share

COinS