Journal article

Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data

    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
  • English
Classification
Mathematics
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Identifiers
  • RERO DOC 4163
Persistent URL
https://folia.unifr.ch/unifr/documents/299695
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