Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball

• Autorzy: Graef John R. , Hebboul Doudja , Moussaoui Toufik

Identyfikatory

DOI

10.7494/OpMath.2023.43.1.47

• Języki publikacji: EN

Abstrakty

EN

In this paper the authors study the existence of positive radial solutions to the Kirchhoff type problem involving the p-Laplacian [formula] where λ > 0 is a parameter, Ωe = {x ∈ RN : |x| > r0}, r0 > 0, N > p > 1, Δp is the p-Laplacian operator, and f ∈ C([r0,+∞) × [0,+∞) ,R) is a non-decreasing function with respect to its second variable. By using the Mountain Pass Theorem, they prove the existence of positive radial solutions for small values of λ.

Słowa kluczowe

EN

Kirchhoff problem; p-Laplacian; positive radial solution; variational methods

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2023
• Tom: Vol. 43, no. 1
• Strony: 47--66
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Graef John R.

• University of Tennessee at Chattanooga, Department of Mathematics, Chattanooga, TN 37403, USA

• https://orcid.org/0000-0002-8149-4633

autor

Hebboul Doudja

• Ecole Normale Supérieure, Laboratory of Partial Differential Equations and History of Mathematics, Kouba, Algiers, Algeria

autor

Moussaoui Toufik

• Ecole Normale Supérieure, Laboratory of Fixed Point Theory and Applications, Kouba, Algiers, Algeria

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)