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.

Highly quasilinear problems without the Ambrosetti-Rabinowitz condition

A. M. Candela;G. Fragnelli;
2019

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/247623
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