The existence and concentration of positive solutions for a nonlinear Schrödinger-Poisson system with critical growth
Journal Article
·
· Journal of Mathematical Physics
- Chern Institute of Mathematics, Nankai University, Tianjin 300071 (China)
We consider the Schrödinger-Poisson system: −ε{sup 2}Δu + V(x)u + ϕ(x)u = f(u),−Δϕ = u{sup 2} in R{sup 3}, where the nonlinear term f is of critical growth. In this paper, we construct a solution (u{sub ε}, ϕ{sub ε}) of the above elliptic system, which concentrates at an isolated component of positive locally minimum points of V as ε → 0 under certain conditions on f. In particular, the monotonicity of (f(s))/(s{sup 3}) and the so-called Ambrosetti-Rabinowitz condition are not required.
- OSTI ID:
- 22251033
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Standing waves for coupled nonlinear Schrödinger equations with decaying potentials
Well posedness and smoothing effect of Schroedinger-Poisson equation
Dispersive and absorptive violation in mixing
Journal Article
·
Fri Nov 15 00:00:00 EST 2013
· Journal of Mathematical Physics
·
OSTI ID:22251033
Well posedness and smoothing effect of Schroedinger-Poisson equation
Journal Article
·
Sat Sep 15 00:00:00 EDT 2007
· Journal of Mathematical Physics
·
OSTI ID:22251033
Dispersive and absorptive violation in mixing
Journal Article
·
Wed Mar 24 00:00:00 EDT 2021
· Physical Review D
·
OSTI ID:22251033