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An obstacle problem via a sequence of penalized problems

    https://doi.org/10.1142/9789814295574_0009Cited by:0 (Source: Crossref)
    Abstract:

    In this paper, we shall concern with the existence result of unilateral parabolic degenerated problems associated to the equations of the form

    where A is a classical Leray-Lions operator acting from the weighted Sobolev space into its dual Lp′ (0, T, W-1,p′ (Ω, w*)), while the datum f is assumed in L1(QT).

    The proof is based on the penalty methods.