Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615688 | Journal of Mathematical Analysis and Applications | 2015 | 28 Pages |
Abstract
Let Ω be a bounded domain with a smooth C2C2 boundary in RN=Rk×RN−kRN=Rk×RN−k (N≥3N≥3), 0∈∂Ω0∈∂Ω, and ν denotes the unit outward normal vector to boundary ∂Ω . We are concerned with the Neumann boundary problem: −Δu−μu|y|2=|u|pt−1u|y|t+f(x,u), u>0u>0, x∈Ωx∈Ω, ∂u∂ν+α(x)u=0, x∈∂Ω∖{0}x∈∂Ω∖{0}. Using the Mountain Pass Lemma without (PS) condition and the strong maximum principle, we establish certain existence result of the positive solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jing Yang,