Double phase problems: a survey of some recent results

• Autorzy: Papageorgiou Nikolaos S.

Identyfikatory

DOI

10.7494/OpMath.2022.42.2.257

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

double phase integrand; generalized Orlicz spaces; regularity theory; maximum principle; Nehari manifold

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 2
• Strony: 257--278
• Opis fizyczny: Bibliogr. 41 poz.

Twórcy

autor

Papageorgiou Nikolaos S.

• National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).