On a class of nonlinear Schrödinger equations
✍ Scribed by Paul H. Rabinowitz
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 850 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0044-2275
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📜 SIMILAR VOLUMES
In this paper, we deal with a class of Schr odinger equation in R N involving critical Sobolev exponent and jump discontinuities. The basic tool employed here is an approximation technique with periodic functions and variational arguments based on a linking theorem for locally Lipschitz functionals.
We consider the nonlinear Schro dinger equation in dimension one with a nonlinearity concentrated in a finite number of points. Detailed results on the local existence of the solution in fractional Sobolev spaces H \ are given. We also prove the conservation of the L 2 -norm and the energy of the so