Existence and semi-classical limit of the least energy solution to a nonlinear Schrouml;dinger equation with electromagnetic fields

By K. Kurata. 2000

154 citations recorded by the source corpus.

Subfields: Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/184b5db2c7d84374d93eeb693956f460fefe58e8

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In Mathematical Physics

1. Gianni Arioli
2. A. Szulkin
3. Xianhua Tang
4. X. Tang
5. Yanheng Ding
6. Louis Jeanjean

Citations in the corpus

• A Semilinear Schrödinger Equation in the Presence of a Magnetic Field (2003, background): “Clearly, J is even, K =− K and F =− F. (In the language of [AS], J is invariant with respect to the representation R of Z2 ={ −1, 1} given by R−1u =− u; moreover, E Z2 ={ 0} and R ⊂ S.) From now on we consider J as an even functional and disregard the S 1 invariance.”