Existence of multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations
SCIE
SCOPUS
- Title
- Existence of multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations
- Authors
- Byeon, J; Oshita, Y
- Date Issued
- 2004-01
- Publisher
- MARCEL DEKKER INC
- Abstract
- For elliptic equations of the form epsilon2 Deltau - V(x)u + u(p) = 0, x epsilon R-N, where the potential V satisfies lim inf(\x\-->infinity) V(x) > inf(RN) V(x) = 0, we prove the existence of new kinds of solutions, corresponding to semi-classical standing waves for nonlinear Schrodinger equations, with several local maximum points whose local maximum values are of different scales with respect to epsilon --> 0.
- Keywords
- standing waves; critical frequency; nondegeneracy; nonlinear Schrodinger equations; POSITIVE BOUND-STATES; SEMICLASSICAL STATES; FIELD-EQUATIONS; UNIQUENESS; SYMMETRY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29617
- DOI
- 10.1081/PDE-20004020
- ISSN
- 0360-5302
- Article Type
- Article
- Citation
- COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 29, no. 11-12, page. 1877 - 1904, 2004-01
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