Higher differentiability for a class of obstacle problems with nearly linear growth conditions
Summary: 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.
scientific article; zbMATH DE number 7367168
scientific article