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

**Authors:** Claudianor O. Alves, Marco A.S. Souto

arXiv: 1906.09927 · 2019-06-25

## TL;DR

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## Contribution

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## Abstract

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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## References

23 references — full list in the complete paper: https://tomesphere.com/paper/1906.09927/full.md

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Source: https://tomesphere.com/paper/1906.09927