A class of stationary nonlinear Maxwell systems
We study a new class of electromagnetostatic problems in the variational framework of the subspace of $W^{1,p}(\Omega)^3$ of vector functions with zero divergence and zero normal trace, for $p>6/5$, in smooth, bounded and simply connected domains $\Omega$ of $\mathbb R^3$. We prove a Poincaré-Fri...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1822/9725 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/9725 |
| Summary: | We study a new class of electromagnetostatic problems in the variational framework of the subspace of $W^{1,p}(\Omega)^3$ of vector functions with zero divergence and zero normal trace, for $p>6/5$, in smooth, bounded and simply connected domains $\Omega$ of $\mathbb R^3$. We prove a Poincaré-Friedrichs type inequality and we obtain the existence of steady-state solutions for an electromagnetic induction heating problem and for a quasi-variational inequality modelling a critical state generalized problem for type-II superconductors. |
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