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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This work was supported by the Australian Research Council.
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Dancer, E.N., Santra, S. Singular perturbed problems in the zero mass case: asymptotic behavior of spikes. Annali di Matematica 189, 185–225 (2010). https://doi.org/10.1007/s10231-009-0105-x
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DOI: https://doi.org/10.1007/s10231-009-0105-x