Geodesic
Quasilinear problems without the Ambrosetti-Rabinowitz condition
Minimax theory and its applications, Tome 6 (2021) no. 2
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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.
Mots-clés : Quasilinear equation, weak Cerami-Palais-Smale condition, failure of the AmbrosettiRabinowitz condition, p-superlinear problem, subcritical growth 
@article{MTA_2021_6_2_a4,
     author = {Anna Maria Candela  and Genni Fragnelli and Dimitri Mugnai},
     title = {Quasilinear problems without the {Ambrosetti-Rabinowitz} condition},
     journal = {Minimax theory and its applications},
     year = {2021},
     volume = {6},
     number = {2},
     zbl = {1472.35181},
     url = {http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a4/}
}
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Anna Maria Candela ; Genni Fragnelli; Dimitri Mugnai. Quasilinear problems without the Ambrosetti-Rabinowitz condition. Minimax theory and its applications, Tome 6 (2021) no. 2. http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a4/