科研之友
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摘要
Using Morse theory, truncation arguments and an abstract critical point theorem, we obtain the existence of at least three or infinitely many nontrivial solutions for the following quasilinear Schrodinger equation in a bounded smooth domain @@@ {-Delta(p)u - p/2(p) 1 u Delta(p) (u(2)) = f( x, u) in Omega, @@@ u = 0 on partial derivative Omega. (0.1) @@@ Our main results can be viewed as a partial extension of the results of Zhang et al. in [28] and Zhou and Wu in [29] concerning the the existence of solutions to (0.1) in the case of p = 2 and a recent result of Liu and Zhao in [21] two solutions are obtained for problem 0.1.
