Semiclassical states for weakly coupled
โ Montefusco E., Pellacci B., Squassina M.
๐ Library
๐
2000
๐ English
โฆ LIBER โฆ
๐
Semiclassical standing waves with clustering peaks for nonlinear Schrodinger equations
โ Scribed by Jaeyoung Byeon, Kazunaga Tanaka
- Publisher
- Amer Mathematical Society
- Year
- 2014
- Tongue
- English
- Leaves
- 104
- Series
- Memoirs of the American Mathematical Society 1076
- Category
- Library
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โฆ Synopsis
The authors study the following singularly perturbed problem: - 2 ?u V(x)u=f(u) in R N . Their main result is the existence of a family of solutions with peaks that cluster near a local maximum of V(x) . A local variational and deformation argument in an infinite dimensional space is developed to establish the existence of such a family for a general class of nonlinearities f
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