Cao, Daomin

Noussair, E S

Yan, Shusen

2001

We show that the critical problem {-∆υ + λυ = υ²*⁻¹ + αυq⁻¹, υ > 0 in Ω, ∂υ∕∂ν = 0 on ∂Ω, 2 < q < 2* = 2N/(N − 2), has no positive solutions concentrating, as λ → ∞, at interior points of Ω if a = 0, but for a class of symmetric domains Ω, the problem with α > 0 has solutions concentrating at interior points of Ω.

Pacific Journal of Mathematics, 200(1), p. 19-42

1945-5844

0030-8730

https://hdl.handle.net/1959.11/13582

Mathematical Sciences Publishers

Existence and Nonexistence of Interior-Peaked Solution for a Nonlinear Neumann Problem

Journal Article

Publication