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Concentration of solutions of equations of nonlinear Schrödinger type with vector potential: infinite-bump solutions and non-degeneracy
Published online by Cambridge University Press: 22 March 2016
Extract
The equation –ε2Δu + F(V(x), u) = 0 is studied over all of ℝn, and solutions are constructed that concentrate at an infinite set as ε → 0. The function V (x) is vector valued. This advances previous studies in which V (x) was scalar valued.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 3 , June 2016 , pp. 625 - 646
- Copyright
- Copyright © Royal Society of Edinburgh 2016