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On the existence of multipeak solutions for nonlinear field equations on $R^N$

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  • In this paper, we construct multipeak solutions with all the peaks close to a designated saddle point or strict local minimum point of the function $Q(y)$ for the nonlinear field equations. We also show that there is no multipeak solution with all its peaks near a strict local maximum point of $Q(y)$.
    Mathematics Subject Classification: 35B25, 35J65.


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