Degenerate problems with irregular obstacles

Bögelein V, Duzaar F, Mingione G (2011)

Publication Type: Journal article

Publication year: 2011

Journal

Journal für die reine und angewandte Mathematik Walter de Gruyter

Publisher: Walter de Gruyter

Book Volume: 650

Pages Range: 107-160

URI: http://www.reference-global.com/doi/abs/10.1515/CRELLE.2011.006

DOI: 10.1515/CRELLE.2011.006

Abstract

We establish the natural Calderón and Zygmund theory for solutions of elliptic and parabolic obstacle problems involving possibly degenerate operators in divergence form of p-Laplacian type, and proving that the (spatial) gradient of solutions is as integrable as that of the assigned obstacles. We also include an existence and regularity theorem where obstacles are not necessarily considered to be non-increasing in time.

Authors with CRIS profile

Verena Anna Maria Bögelein Naturwissenschaftliche Fakultät Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

University of Parma / Università degli Studi di Parma IT Italy (IT)

How to cite

APA:

Bögelein, V., Duzaar, F., & Mingione, G. (2011). Degenerate problems with irregular obstacles. Journal für die reine und angewandte Mathematik, 650, 107-160. https://doi.org/10.1515/CRELLE.2011.006

MLA:

Bögelein, Verena, Frank Duzaar, and Giuseppe Mingione. "Degenerate problems with irregular obstacles." Journal für die reine und angewandte Mathematik 650 (2011): 107-160.

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