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Positive solutions of nonlinear Schrödinger equation with peaks on a Clifford torus |
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| Authors: | Sanjiban Santra Juncheng Wei |
| Affiliation: | 1. Department of Basic Mathematics, Centro de Investigacióne en Mathematicás, Guanajuato, México;2. +1 604 822 6510+1 604 822 6074;3. Department of Mathematics, The University of British Columbia, Vancouver, BC, Canada |
| Abstract: | We prove the existence of large energy positive solutions for a stationary nonlinear Schrödinger equation  with  for all   Each  is a function  and is defined by the generalized notion of spherical coordinates. The solutions are obtained by a  or a  process. |
| Keywords: | Blow‐up analysis polynomial nonlinearity clifford torus Primary: 35B08 35J20 Secondary: 35J65 |
