anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres
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2006
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Abstract
We prove existence results for distributional solutions of anisotropic nonlinear elliptic systems with a measure valued right-hand side. The functional setting involves anisotropic Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces. In a special case we also prove maximal regularity and uniqueness results. Some of the obtained results are applied, along with an anisotropic variant of the div-curl lemma in the Hardy one space, to prove that the space of anisotropic harmonic maps into spheres is compact in the weak topology of the relevant anisotropic Sobolev space.
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| Authors | ;Mostafa Bendahmane;Kenneth H. Karlsen |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2006 |
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