Multiplicity result for mixed local and nonlocal Kirchhoff problems involving critical growth

• Autorzy: Tripathi Vinayak Mani

Identyfikatory

DOI

10.7494/OpMath.2025.45.4.523

• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the multiplicity of nonnegative solutions for the following nonlocal elliptic problem [formula] where Ω ⊂ RN is bounded domain with smooth boundary, [formula] M is a Kirchhoff coefficient and L denotes the mixed local and nonlocal operator. The weight function [formula] is allowed to change sign. By applying variational approach based on constrained minimization argument, we show the existence of at least two nonnegative solutions.

Słowa kluczowe

EN

mixed local and nonlocal operators; Kirchhoff type problems; critical nonlinearity; Nehari manifold

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2025
• Tom: Vol. 45, no. 4
• Strony: 523--542
• Opis fizyczny: Bibliogr. 45 poz.

Twórcy

autor

Tripathi Vinayak Mani

• Indian Institute of Technology Bhilai, Department of Mathematics, 491002, Durg, Chhattisgarh, India

• https://orcid.org/0009-0007-1710-3443

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)