Axial symmetry of some steady state solutions to nonlinear Schrödinger equations
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- by Changfeng Gui, Andrea Malchiodi and Haoyuan Xu PDF
- Proc. Amer. Math. Soc. 139 (2011), 1023-1032 Request permission
Abstract:
In this paper, we show the axial symmetry of steady state solutions of nonlinear Schrodinger equations when the exponent of the nonlinearity is between the critical Sobolev exponent of $n$-dimensional space and $(n-1)$-dimensional space.References
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Additional Information
- Changfeng Gui
- Affiliation: Department of Mathematics, U-9, University of Connecticut, Storrs, Connecticut 06269
- MR Author ID: 326332
- ORCID: 0000-0001-5903-6188
- Email: gui@math.uconn.edu
- Andrea Malchiodi
- Affiliation: Sector of Mathematical Analysis, SISSA, Via Beirut 2-4, 34014 Trieste, Italy
- MR Author ID: 655662
- Email: malchiod@sissa.it
- Haoyuan Xu
- Affiliation: Department of Mathematics, U-9, University of Connecticut, Storrs, Connecticut 06269
- Email: haoyuan@math.uconn.edu
- Received by editor(s): March 28, 2010
- Published electronically: September 1, 2010
- Communicated by: Matthew J. Gursky
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 1023-1032
- MSC (2010): Primary 35J15, 35J20, 35J60, 35J61
- DOI: https://doi.org/10.1090/S0002-9939-2010-10638-X
- MathSciNet review: 2745653