Abstract
LRES, Faculty of Sciences of Tunis, University of Tunis El Manar, Tunisia EM makkia.dammak@gmail.com KW Asymptotically linear % variational method % Schr?dinger equations % Cerami sequence KR nema In this paper, we investigate a quasilinear Schr?dinger problem under Dirichlet boundary condition in a regular domain with asymptotically linear nonlinearities. We use Cerami version of the mountain pass theorem to prove the existence of solution without using the Ambrosetti-Rabionovitz condition or any of its refinements. Then, we prove that the same techniques work when the nonlinearity is superlinear and subcritical at infinity.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
