Abstract
The aim of this article is twofold: firstly, we deal with the existence and multiplicity of weak solutions to the Kirchhoff problem: where Ω is a smooth bounded domain in and . Secondly, we deal with the existence and multiplicity of weak solutions to the Kirchhoff problem: where and . We assume that f and g have critical exponential growth at infinity. To establish our existence results, we use the mountain pass theorem, Ekeland variational principle and Moser–Trudinger inequality.
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