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Nonlinear obstacle problems with double phase in the borderline case |
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| Authors: | Sun-Sig Byun Yumi Cho Jehan Oh |
| Affiliation: | 1. Department of Mathematical Sciences, Seoul National University, Seoul, 08826 Korea Research Institute of Mathematics, Seoul National University, Seoul, 08826 Korea;2. Department of Mathematical Sciences, Seoul National University, Seoul, 08826 Korea;3. Department of Mathematics, Kyungpook National University, Daegu, 41566 Korea |
| Abstract: | In this paper we study a double phase problem with an irregular obstacle. The energy functional under consideration is characterized by the fact that both ellipticity and growth switch between a type of polynomial and a type of logarithm, which can be regarded as a borderline case of the double phase functional with |
| Keywords: | BMO coefficient Calderón–Zygmund estimate double phase problem obstacle problem Reifenberg flat domain 35B65 35J87 |