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

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 نشر من قبل Jianjun Zhang
 تاريخ النشر 2016
  مجال البحث
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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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