| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618959 | Journal of Mathematical Analysis and Applications | 2010 | 20 Pages |
Abstract
We study existence and concentration of positive solutions for quasilinear elliptic equations of the form −ε2Δu−ε2Δ(u2)u+V(x)u=h(u) in RN, N⩾3, as ε→0, where the potential V:RN→R has a positive infimum and inf∂ΩV>infΩV for some bounded domain Ω in RN and h is a nonlinearity without some growth conditions such as Ambrosetti–Rabinowitz.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
