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9781470473044 Academic Inspection Copy

Regularity for Orlicz Phase Problems

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
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
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