Standing waves with a critical frequency for nonlinear Schrodinger equations, II
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SCOPUS
- Title
- Standing waves with a critical frequency for nonlinear Schrodinger equations, II
- Authors
- Byeon, J; Wang, ZQ
- Date Issued
- 2003-10
- Publisher
- SPRINGER-VERLAG
- Abstract
- For elliptic equations of the form Deltau-V(epsilonx)u + f (u) = 0, x is an element of R-N, where the potential V satisfies (\x\ -->infinity) V(x) > inf(RN)V (x) = 0, we develop a new variational approach to construct localized bound state solutions concentrating at an isolated component of the local minimum of V where the minimum value of V can be positive or zero. These solutions give rise to standing wave solutions having a critical frequency for the corresponding nonlinear Schrodinger equations. Our method allows a fairly general class of nonlinearity f(u) including ones without any growth restrictions at large.
- Keywords
- POSITIVE BOUND-STATES; MULTI-BUMP SOLUTIONS; SEMICLASSICAL STATES; ELLIPTIC-EQUATIONS; FIELD-EQUATIONS; EXISTENCE; SYMMETRY; DOMAINS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29718
- DOI
- 10.1007/S00526-002-0
- ISSN
- 0944-2669
- Article Type
- Article
- Citation
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 18, no. 2, page. 207 - 219, 2003-10
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