Article ID Journal Published Year Pages File Type
1710503 Applied Mathematics Letters 2006 6 Pages PDF
Abstract

We consider the semilinear problem −Δu+λu=|u|p−2u in ΩΩ, u=0u=0 on ∂Ω∂Ω, where Ω⊂RNΩ⊂RN is a bounded smooth domain and 20λ>0 sufficiently large, the equivariant topology of ΩΩ is related to the number of solutions which change sign exactly once.

Keywords
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Preview
A note on the number of nodal solutions of an elliptic equation with symmetry
Authors
,