Existence of positive solutions for Schro ̈dinger-Poisson systems: 2 < p < 4
吳宗芳教授國立高雄大學應用數學系 下午 2:30–4:00 鴻經館 107 室In this talk, we will study the following Schro ̈dinger-Poisson systems:
{█(-∆u + u + K (x)∅u = a (x)|u| p^(-2) u in R^3;@-∆∅ = K (x) u^2 in R^3 ;)┤
where 2 < p < 4, K and a are bounded nonnegative functions. By using the fibering maps and studying some properties of the Nehari manifold, we will obtain the existence of positive solutions for the above Schro ̈dinger-Poisson systems.