Regularity for Orlicz Phase Problems

Sumiya Baasandorj, Seoul National University, Korea, and University of Ottawa, Ontario, Canada, and Sun-Sig Byun, Seoul National University, Korea

Chapters 1. Introduction 2. Notations and preliminaries 3. Absence of Lavrentiev phenomenon 4. Sobolev-Poincare type inequalities 5. Basic regularity results 6. Harmonic type approximation 7. Comparison estimates 8. Proof of Theorem 9. Proof of Theorem 10. Orlicz double phase problems 11. Regularity results under additional integrability