Quasilinear Problems without the Ambrosetti-Rabinowitz Condition
Author(s)
Date Issued
2021
Type
article
Start Page
239
End Page
250
Abstract
We show the existence of nontrivial solutions for a class of quasilinear problems in which the governing operators depend on the unknown function. By using a suitable variational setting and a weak version of the Cerami-Palais-Smale condition, we establish the desired result without assuming that the nonlinear source satisfies the Ambrosetti-Rabinowitz condition.