Normalized solutions to a Schrödinger-Bopp-Podolsky system under Neumann boundary conditions. (English) Zbl 1511.35152
Summary: In this paper, we study a Schrödinger-Bopp-Podolsky (SBP) system of partial differential equations in a bounded and smooth domain of \(\mathbb{R}^3\) with a nonconstant coupling factor. Under a compatibility condition on the boundary data we deduce existence of solutions by means of the Ljusternik-Schnirelmann theory.
MSC:
| 35J58 | Boundary value problems for higher-order elliptic systems |
| 35J61 | Semilinear elliptic equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
References:
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