# American Institute of Mathematical Sciences

January  2000, 6(1): 39-50. doi: 10.3934/dcds.2000.6.39

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

 1 School of Mathematics and Statistics, University of Sydney, N.S.W. 2006, Australia 2 School of Mathematics and Statistics, University of Sydney, NSW 2006

Received  September 1999 Published  December 1999

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 $Q(y)$.
Citation: E. N. Dancer, Shusen Yan. On the existence of multipeak solutions for nonlinear field equations on $R^N$. Discrete & Continuous Dynamical Systems - A, 2000, 6 (1) : 39-50. doi: 10.3934/dcds.2000.6.39
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