The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights

• Autorzy: Sanhaji Ahmed , Dakkak Ahmed , Moussaoui Mimoun

Identyfikatory

DOI

10.7494/OpMath.2023.43.4.559

• Języki publikacji: EN

Abstrakty

EN

This article is intended to prove the existence and uniqueness of the first eigencurve, for a homogeneous Neumann problem with singular weights associated with the equation −Δp u = αm1|u|p−2u + βm2|u|p−2u in a bounded domain Ω ⊂ RN. We then establish many properties of this eigencurve, particularly the continuity, variational characterization, asymptotic behavior, concavity and the differentiability.

Słowa kluczowe

EN

p-Laplacian; first eigencurve; singular weights; Neumann boundary conditions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2023
• Tom: Vol. 43, no. 4
• Strony: 559--574
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Sanhaji Ahmed

• Sidi Mohamed Ben Abdellah University, Polydisciplinary Faculty of Taza, Department of Mathematics, LSI Laboratory, P.O. Box 1223 Taza, 35000, Morocco

autor

Dakkak Ahmed

• Sidi Mohamed Ben Abdellah University, Polydisciplinary Faculty of Taza, Department of Mathematics, LSI Laboratory, P.O. Box 1223 Taza, 35000, Morocco

autor

Moussaoui Mimoun

• Mohamed 1 University, Faculty of Sciences of Oujda, Department of Mathematics, LANOL Laboratory, P.O. Box 717 Oujda, 60000, Morocco

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)