Bounded Variation Solution for a Class of Kirchhoff Type Problem Involving the 1-Laplacian Operator-Reference-Cited by-同舟云学术

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Bounded Variation Solution for a Class of Kirchhoff Type Problem Involving the 1-Laplacian Operator

Published:2023-10-14 Issue:1 Volume:23 Page:
ISSN:1575-5460
Container-title:Qualitative Theory of Dynamical Systems
language:en
Short-container-title:Qual. Theory Dyn. Syst.

Author:

Liu Rui,Li Lin,O’Regan Donal

Funder

Research Fund of National Natural Science Foundation of China

Chongqing Municipal Education Commission

Chongqing Technology and Business University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://link.springer.com/content/pdf/10.1007/s12346-023-00879-9.pdf

Reference22 articles.

1. Aissaoui, N., Long, W.: Positive solutions for a Kirchhoff equation with perturbed source terms. Acta Math. Sci. Ser. B 42(5), 1817–1830 (2022)

2. Alves, C.O., Corrêa, F.J.S.A., Ma, T.F.: Positive solutions for a quasilinear elliptic equation of Kirchhoff type. Comput. Math. Appl. 49(1), 85–93 (2005)

3. Alves, C.O., Figueiredo, G.M., Pimenta, M.T.O.: Existence and profile of ground-state solutions to a 1-Laplacian problem in $$\mathbb{R} ^N$$. Bull. Braz. Math. Soc. 51(3), 863–886 (2020)

4. Alves, C.O., Ourraoui, A., Pimenta, M.T.O.: Multiplicity of solutions for a class of quasilinear problems involving the 1-Laplacian operator with critical growth. J. Differ. Equ. 308, 545–574 (2022)

5. Alves, C.O., Pimenta, M.T.O.: On existence and concentration of solutions to a class of quasilinear problems involving the 1-Laplace operator. Calc. Var. Part. Differ. Equ. 56(5), 143 (2017)

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