Existence of solutions for Kirchhoff type problem involving the non-local fractional p-Laplacian
By Mingqi Xiang, Binlin Zhang, Massimiliano Ferrara. 2015
206 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/31075f72df0fe6a5ba423c9ca3f8c6a08e395973
How researchers see this paper
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In Applied Mathematics
- Binlin Zhang
- Mingqi Xiang
- Patrizia Pucci
- Ning Pan
- Jun Cao
- Xia Zhang
- Xiuying Guo
- Massimiliano Ferrara
In Computational Theory and Mathematics
- Binlin Zhang
- Mingqi Xiang
- Patrizia Pucci
- Ning Pan
- Jun Cao
- Xia Zhang
- Xiuying Guo
- Massimiliano Ferrara
In Control and Systems Engineering
- Binlin Zhang
- Mingqi Xiang
- Patrizia Pucci
- Ning Pan
- Jun Cao
- Xiuying Guo
- Xia Zhang
- Vicentiu D. Rădulescu
Citations in the corpus
- Multiplicity results for the non-homogeneous fractional p-Kirchhoff equations with concave–convex nonlinearities (2015, background): “1), in which most of results can be referred to [42,45].”
- Infinitely many solutions for a fractional Kirchhoff type problem via Fountain Theorem (2015, methodology): “To this end, using variational methods, Xiang, Zhang and Ferrara [41] obtained the existence of nontrivial solutions to problem (1.”
- Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations (2016, methodology): “For other recent results in this direction, the reader is referred, for example, to [25, 27, 28, 36] for the non-degenerate case and [4, 35, 37] for the degenerate case.”
- Degenerate Kirchhoff problems involving the fractional p-Laplacian without the (AR) condition (2015, background): “5 of [9], {un}n has a convergent subsequence in Lθp( ), i.”
- Degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian (2017, background): “It is easy to get that ‖ · ‖W is a norm on W , see [35].”
- A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN (2016, background): “In [38], Xiang, Zhang and Ferrara investigated the existence of solutions for Kirchhoff-type problems involving the fractional p-Laplacian via variationalmethods, where the nonlinearity is subcritical and the Kirchhoff function is non-degenerate.”