• Title of article

    Lower Semicontinuity of Functionals via the Concentration-Compactness Principle

  • Author/Authors

    Eugenio Montefusco، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2001
  • Pages
    13
  • From page
    264
  • To page
    276
  • Abstract
    In this paper we show the weak lower semicontinuity of some classes of functionals, using the concentration-compactness principle of P. L. Lions. These functionals involve an integral term, and we do not know whether it can be handled by the De Giorgi theorem. The semicontinuity result allows us to prove several existence results for quasilinear elliptic equations.
  • Keywords
    concentration , Lower semicontinuity , compactness principle.
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2001
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    933347