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

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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

Abstract
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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 $Q(y)$.

Keywords: multipeak solution., elliptic problem.

Mathematics Subject Classification: 35B25, 35J6.

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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