Abstract.
The existence of two nontrivial solutions for a class of fully nonlinear problems at critical growth with perturbations of lower order is proved. The first solution is obtained via a local minimization argument while the second solution follows by a non-smooth mountain pass theorem.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Squassina, M. Two solutions for inhomogeneous nonlinear elliptic equations at critical growth. NoDEA 11, 53–71 (2004). https://doi.org/10.1007/s00030-003-1046-5
Received:
Issue Date:
DOI: https://doi.org/10.1007/s00030-003-1046-5