Double phase problems: a survey of some recent results
Νικόλαος Παπαγεωργίου
Abstract
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.
Topics & Concepts
MathematicsFocus (optics)Space (punctuation)Phase (matter)Function (biology)Function spacePhase spacePure mathematicsCalculus (dental)Computer scienceDentistryOperating systemEvolutionary biologyThermodynamicsBiologyPhysicsOrganic chemistryChemistryMedicineOpticsAdvanced Harmonic Analysis ResearchNonlinear Partial Differential EquationsContact Mechanics and Variational Inequalities