anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres

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ID: 168254
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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bendahmane2006electronicanisotropic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Mostafa Bendahmane;Kenneth H. Karlsen
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2006
DOI
DOI not found
URL
http://ejde.math.txstate.edu/Volumes/2006/46/abstr.html
Keywords
mathematics nonlinear existence harmonic map

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