Quasilinear Problems without the Ambrosetti-Rabinowitz Condition
Keywords:
Quasilinear equation, weak Cerami-Palais-Smale condition, failure of the AmbrosettiRabinowitz condition, p-superlinear problem, subcritical growth.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.
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Published
2021-07-02
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How to Cite
Quasilinear Problems without the Ambrosetti-Rabinowitz Condition. (2021). Minimax Theory and Its Applications, 6(2), 239–250. https://journalmta.com/index.php/jmta/article/view/111
