Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent

• Autorzy: Stegliński Robert

Identyfikatory

DOI

10.7494/OpMath.2022.42.5.751

• Języki publikacji: EN

Abstrakty

EN

Using the Dual Fountain Theorem we obtain some existence of infinitely many solutions for local and nonlocal elliptic equations with variable exponent. Our results correct some of the errors that have appeared recently in the literature.

Słowa kluczowe

EN

dual fountain theorem; p(·)-Laplacian; fractional p(·)-Laplacian; infinitely many solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 5
• Strony: 751--761
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Stegliński Robert

• Lodz University of Technology, Institute of Mathematics, Politechniki 8, 93-590 Lodz, Poland

• https://orcid.org/0000-0002-5621-1945

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).