Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664296 | Acta Mathematica Scientia | 2012 | 12 Pages |
Abstract
We study the existence and non-existence of bound states (i.e., solutions in
W1,p(ℝN)W1,p(ℝN)) for a class of quasilinear scalar field equations of the form
−Δpu + V(x)|u|p−2 u = a(x)|u|q−2 u, x ∈ ℝN, 1 < p
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Athanasios N. Lyberopoulos,