2004
Existence of multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
- ,
- Volume
- 29
- Number
- 11-12
- First page
- 1877
- Last page
- 1904
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1081/PDE-200040205
- Publisher
- MARCEL DEKKER INC
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.
- Link information
- ID information
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- DOI : 10.1081/PDE-200040205
- ISSN : 0360-5302
- Web of Science ID : WOS:000225802200008