Non-coercive linear elliptic problems

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We study here some linear elliptic partial differential equations (with Dirichlet, Fourier of mixed boundary conditions), to which convection terms (first order perturbations) are added that entail the loss of the classical coercivity property. We prove the existence, uniqueness and regularity results for the solutions to these problems.

Original languageEnglish
Pages (from-to)181-203
Number of pages23
JournalPotential Analysis
Issue number2
Publication statusPublished - 1 Dec 2002
Externally publishedYes


  • Coercivity
  • Convection terms
  • Duality solution
  • Linear elliptic PDEs

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