TY - JOUR ID - Papageorgiou2022 LB - Papageorgiou2022 AU - Papageorgiou, Nikolaos S. TI - Double phase problems: a survey of some recent results ST - Double phase problems: a survey of some recent results JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2022 VL - 42 IS - 2 SP - 257 EP - 278 DO - https://doi.org/10.7494/OpMath.2022.42.2.257 UR - https://doi.org/10.7494/OpMath.2022.42.2.257 AB - We review some recent results on double phase problems. We focus on the relevant function space framework, which is provided by the generalized Orlicz spaces. We also describe the basic tools and methods used to deal with double phase problems, given that there is no global regularity theory for these problems. KW - double phase integrand KW - generalized Orlicz spaces KW - regularity theory KW - maximum principle KW - Nehari manifold SN - 1232-9274 ER -