The obstacle problem for singular doubly nonlinear equations of porous medium type

  • Leah Schätzler

    Universität Erlangen-Nürnberg, Germany and Paris Lodron Universität Salzburg, Austria
The obstacle problem for singular doubly nonlinear equations of porous medium type cover

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Abstract

In this paper we prove the existence of variational solutions to the obstacle problem associated with doubly nonlinear equations with and a convex function satisfying a standard -growth condition for an exponent in a bounded space-time cylinder . The obstacle function and the boundary values are time dependent. The proof relies on a nonlinear version of the method of minimizing movements.

Cite this article

Leah Schätzler, The obstacle problem for singular doubly nonlinear equations of porous medium type. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 3, pp. 503–548

DOI 10.4171/RLM/903