Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data
- Augsburger, Fabien Department of Mathematics, Fribourg University, Switzerland
- Hungerbühler, Norbert Department of Mathematics, Fribourg University, Switzerland
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07.12.2004
Published in:
- Electronic Journal of Differential Equations. - 2004, vol. 144, no. 1-18
English
We study the quasilinear elliptic system −div σ(x, u,Du) = v(x) + f(x, u) + div g(x, u) on a bounded domain of Rⁿ with homogeneous Dirichlet boundary conditions. This system corresponds to a diffusion problem with a source v in a moving and dissolving substance, where the motion is described by g and the dissolution by f. We prove existence of a weak solution of this system under classical regularity, growth, and coercivity conditions for σ, but with only very mild monotonicity assumptions.
- Faculty
- Faculté des sciences
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- Other electronic version
- License
- License undefined
- Identifiers
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- RERO DOC 4163
- Persistent URL
- https://folia.unifr.ch/unifr/documents/299695
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