We consider the existence of the ground states solutions to the following Schrodinger equation -△u + V(x)u = f(u), u ∈ H1(RN), where N ) 3 and f has critical growth. We generalize an earlier theorem due to ...We consider the existence of the ground states solutions to the following Schrodinger equation -△u + V(x)u = f(u), u ∈ H1(RN), where N ) 3 and f has critical growth. We generalize an earlier theorem due to Berestycki and Lions about tile subcritical case to the current critical case.展开更多
文摘We consider the existence of the ground states solutions to the following Schrodinger equation -△u + V(x)u = f(u), u ∈ H1(RN), where N ) 3 and f has critical growth. We generalize an earlier theorem due to Berestycki and Lions about tile subcritical case to the current critical case.