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ANISOTROPIC NONLINEAR ELLIPTIC SYSTEMS WITH MEASURE DATA AND ANISOTROPIC HARMONIC MAPS INTO SPHERES.
- Source :
-
Electronic Journal of Differential Equations . 2006, Vol. 2006, Special section p1-30. 30p. - Publication Year :
- 2006
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ELLIPTIC space
*HARMONIC maps
*SOBOLEV spaces
*HARDY spaces
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 15506150
- Volume :
- 2006
- Database :
- Academic Search Index
- Journal :
- Electronic Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 73809877