Higher differentiability for a class of obstacle problems with nearly linear growth conditions
type: Item
instance of: scholarly article
title: Higher differentiability for a class of obstacle problems with nearly linear growth conditions
zbMATH Open document ID: 1468.35069
DOI: 10.4171/RLM/914
author: Chiara Gavioli
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2021-07-02T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35J87
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 7367168
zbMATH Keywords: variational inequalities
zbMATH Keywords: obstacle problems
zbMATH Keywords: higher differentiability
zbMATH Keywords: nearly linear growth
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/rlm/914
OpenAlex ID: W3129997678
description: scientific article; zbMATH DE number 7367168