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Existence of weak solution for a class of abstract coupling system associated with stationary electromagnetic system. (English) Zbl 1401.35073

Summary: We consider the existence of a weak solution for a class of coupling system containing stationary electromagnetic coupling system associated with the Maxwell equations in a multi-connected domain. Mathematically we are concerned with the coupled system containing a \(p\)-curl equation and a \(q\)-Laplacian equation.

MSC:

35J60 Nonlinear elliptic equations
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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