We show the existence of nontrivial solutions for a class of highly 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.
Quasilinear problems without the Ambrosetti-Rabinowitz condition
A. M. Candela;G. Fragnelli
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2021-01-01
Abstract
We show the existence of nontrivial solutions for a class of highly 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.File in questo prodotto:
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