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arxiv: 1906.09927 · v1 · submitted 2019-06-24 · 🧮 math.AP

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Existence of solution for a class of problem in whole mathbb{R}^N without the Ambrosetti-Rabinowitz condition

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keywords conditionambrosetti-rabinowitzclassexistencemathbbproblemsolutionwhole
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In this paper we study the existence of solution for a class of elliptic problem in whole $\mathbb{R}^N$ without the well known Ambrosetti-Rabinowitz condition. Here, we do not assume any monotonicity condition on $f(s)/s$ for $s>0$.

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