Nontrivial solution of a semilinear Schrodinger equation

Troestler, C.;Willem, Michel
(1996) Communications in Partial Differential Equations — Vol. 21, n° 9-10, p. 1431-1449 (1996)

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  • Troestler, C.
    Author
  • Willem, MichelUCLouvain
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Abstract
This paper deals with strongly indefinite functionals whose gradients are Fredholm operators of index 0 and map weakly convergent sequences to weakly convergent sequences. We show bow these results apply to a Z(N)-invariant semilinear Schrodinger equation on R(N).
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Troestler, C., & Willem, M. (1996). Nontrivial solution of a semilinear Schrodinger equation. Communications in Partial Differential Equations, 21(9-10), 1431-1449. https://doi.org/10.1080/03605309608821233 (Original work published 1996)