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arXiv · 1604.04715

Multi-peak solutions for nonlinear Choquard equation with a general nonlinearity

Minbo Yang·Jianjun Zhang·Yimin Zhang
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Abstract

In this paper, we study a class of nonlinear Choquard type equations involving a general nonlinearity. By using the method of penalization argument, we show that there exists a family of solutions having multiple concentration regions which concentrate at the minimum points of the potential $V$. Moreover, the monotonicity of $f(s)/s$ and the so-called Ambrosetti-Rabinowitz condition are not required.

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Minbo Yang, Jianjun Zhang, Yimin Zhang. 2016-04-16. Multi-peak solutions for nonlinear Choquard equation with a general nonlinearity. https://arxiv.org/abs/1604.04715

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