Ground state solutions and multiple positive solutions for nonhomogeneous Kirchhoff equation with Berestycki-Lions type conditions

• Autorzy: Huang Lanxin , Su Jiabao

Identyfikatory

DOI

10.1515/dema-2024-0068

• Języki publikacji: EN

Abstrakty

EN

This article is concerned with the following Kirchhoff equation: [formula], where a and b are positive constants and h ≠ 0. Under the Berestycki-Lions type conditions on g, we prove that the equation has at least two positive solutions by using variational methods. Furthermore, we obtain the existence of ground state solutions.

Słowa kluczowe

EN

nonhomogeneous Kirchhoff equation; variational methods; Berestycki-Lions type conditions; multiple positive solutions; ground state solution

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240068
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Huang Lanxin

• School of Mathematical Sciences, Shenzhen University, Shenzhen 518060, P. R. China
• College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, P. R. China
• chool of Mathematical Sciences, Capital Normal University, Beijing 100048, P. R. China

autor

Su Jiabao

• School of Mathematical Sciences, Capital Normal University, Beijing 100048, P. R. China

Bibliografia

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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 (2026).