In this paper, we prove that a singularly perturbed Neumann problem with potentials admits the existence of interior spikes concentrating in maxima and minima of an auxiliary functional depending only on the potentials.
Pomponio, A., Secchi, S. (2004). Interior spikes of a singularly perturbed Neumann problem with potentials. APPLIED MATHEMATICS LETTERS, 17(9), 1025-1031 [10.1016/j.aml.2004.07.004].
Interior spikes of a singularly perturbed Neumann problem with potentials
SECCHI, SIMONE
2004
Abstract
In this paper, we prove that a singularly perturbed Neumann problem with potentials admits the existence of interior spikes concentrating in maxima and minima of an auxiliary functional depending only on the potentials.
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