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. 2004, no. 144, p. 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 et de médecine
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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