The Schrödinger-Maxwell system with Dirac mass. (English) Zbl 1132.35024
A nonrelativistic charged quantum particle moving which is simulating by Schrödinger-Maxwell system with Dirac mass, in a three-dimensional bounded open domain with a smooth boundary is studied. A condition is found which provides the existence of a nontrivial weak solution.
Reviewer: Ramzet M. Dzhafarov (Donetsk)
MSC:
| 35D05 | Existence of generalized solutions of PDE (MSC2000) |
| 35Q40 | PDEs in connection with quantum mechanics |
| 35J65 | Nonlinear boundary value problems for linear elliptic equations |
References:
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