Abstract
In this paper, we prove that if Q is a positive continuous function in RN and satisfies the suitable conditions, then for sufficiently small λ>0,-Δu+u=Q(z)up-1 with the boundary condition u(x,zN)=λg(x) admits at least three positive solutions in R+N.
Original language | English |
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Pages (from-to) | 304-316 |
Number of pages | 13 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 75 |
Issue number | 1 |
DOIs | |
State | Published - 01 2012 |
Keywords
- Category
- Elliptic boundary value problems
- Multiple positive solutions
- The half space