Existence of multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations with potentials vanishing at infinity
- Title
- Existence of multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations with potentials vanishing at infinity
- Authors
- Kwon, O; null
- Date Issued
- 2009-01
- Publisher
- ROYAL SOC EDINBURGH
- Abstract
- For a singularly perturbed nonlinear elliptic equation, epsilon(2)Delta u - V(x)u + u(p) = 0, x is an element of R(N), there are solutions concentrating around critical points of V with different energy scales with respect to small epsilon > 0. We combine the solutions when lim inf(vertical bar x vertical bar ->infinity) vertical bar x vertical bar(2)V(x) > 0.
- Keywords
- POSITIVE BOUND-STATES; SEMICLASSICAL STATES; GENERAL NONLINEARITY; UNIQUENESS; SYMMETRY; SPHERES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/26527
- ISSN
- 0308-2105
- Article Type
- Article
- Files in This Item:
- There are no files associated with this item.
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