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Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity by Xiang, Mingqi; Hu, Die; Yang, Di is a Mathematics article available to read on EtoBox.
What is Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity about?
In this paper, we study the existence of least energy solutions to the following fractional Kirchhoff problem with logarithmic nonlinearity where s ∈(0,1), with θ ≥ 1 and [u]s,p is the Gagliardo seminorm of u, h ∈ C(Ω ) may change sign, λ > 0 is a parameter, q ∈ (1, p \* s ) and (-∆) s p is the fractional p-Laplacian. When θp < q < p \* s and h is a positive function on Ω , the existence of least energy solutions is obtained by restricting the discussion on Nehari manifold. When 1 < q < θp and h is a sign-changing function on Ω , two local least energy solutions are obtained by using the Nehari manifold approach.
Who reads Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Xiang, Mingqi; Hu, Die; Yang, Di
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0362-546X)
- Published
- 2020
- Language
- EN
- Field
- Mathematics (Physical Sciences)