Singular perturbed problems in the zero mass case: asymptotic behavior of spikes |
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Authors: | E. N. Dancer Sanjiban Santra |
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Affiliation: | 1. School of Mathematics and Statistics, The University of Sydney, Sydney, NSW, 2006, Australia
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Abstract: | We discuss the asymptotic behavior of the least energy solution of a Dirichlet problem in the zero mass case. If Q is a uniformly positive potential having k isolated local minima, then we prove the existence of a positive multi-spike solutions having k peaks concentrating at each local minima of the potential. |
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