Higher differentiability for a class of obstacle problems with nearly linear growth conditions

  • Chiara Gavioli

    Università di Modena e Reggio Emilia, Italy
Higher differentiability for a class of obstacle problems with nearly linear growth conditions cover
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Abstract

We establish higher differentiability results of integer order for solutions to a class of obstacle problems with nearly linear growth, provided that we assume a suitable extra integer differentiability property of Sobolev order on the gradient of the obstacle. Our results cover a large class of models for which the Lavrentiev phenomenon does not appear.

Cite this article

Chiara Gavioli, Higher differentiability for a class of obstacle problems with nearly linear growth conditions. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 4, pp. 767–789

DOI 10.4171/RLM/914