Singular perturbed problems in the zero mass case: asymptotic behavior of spikes

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2009
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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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Authors E. N. Dancer;Sanjiban Santra;E. N. Dancer;Sanjiban Santra;
Journal annali di matematica pura ed applicata
Year 2009
DOI
doi:10.1007/s10231-009-0105-x
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