Ground and bound state solutions for quasilinear elliptic systems including singular nonlinearities and indefinite potentials
M. L. M. Carvalho,
Edcarlos D. Da Silva,
C. A. Santos
et al.
Abstract:It is established existence of bound and ground state solutions for quasilinear elliptic systems driven by (Φ 1 , Φ 2 )-Laplacian operator. The main feature here is to consider quasilinear elliptic systems involving both nonsingular nonlinearities combined with indefinite potentials and singular cases perturbed by superlinear and subcritical couple terms. These prevent us to use arguments based on Ambrosetti-Rabinowitz condition and variational methods for differentiable functionals. By exploring the Nehari me… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.