Ground states of nonlinear Schrodinger e
β Ambrosetti A., Felli V., Malchiodi A.
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Multiplicity results for some nonlinear Schrodinger equations with potentials
β Scribed by Ambrosetti A., Malchiodi A., Secchi S.
- Year
- 2000
- Tongue
- English
- Leaves
- 20
- Category
- Library
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Bound states of nonlinear Schrodinger eq
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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 es
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2008
π World Scientific Publishing Company
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These lecture notes review recent results on the high-frequency analysis of nonlinear SchrΓΆdinger equations in the presence of an external potential. The book consists of two relatively independent parts: WKB analysis, and caustic crossing. In the first part, the basic linear WKB theory is construct
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