Obstacle problem for a class of parabolic equations of generalized p-Laplacian type

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  • Casimir Lindfors

Research units


We study nonlinear parabolic PDEs with Orlicz-type growth conditions. The main result gives the existence of a unique solution to the obstacle problem related to these equations. To achieve this we show the boundedness of weak solutions and that a uniformly bounded sequence of weak supersolutions converges to a weak supersolution. Moreover, we prove that if the obstacle is continuous, so is the solution.


Original languageEnglish
Pages (from-to)5499-5540
Number of pages42
JournalJournal of Differential Equations
Issue number10
Publication statusPublished - 15 Nov 2016
MoE publication typeA1 Journal article-refereed

    Research areas

  • Degenerate/singular parabolic equations, General growth conditions, Obstacle problem

ID: 9198300