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On the fractional p-Laplacian problems [PDF]

Journal of Inequalities and Applications, 2021
This paper deals with nonlocal fractional p-Laplacian problems with difference. We get a theorem which shows existence of a sequence of weak solutions for a family of nonlocal fractional p-Laplacian problems with difference.
Q-Heung Choi, Tacksun Jung
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Radial symmetry for a generalized nonlinear fractional p-Laplacian problem

Nonlinear Analysis, 2021
This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou, Lihong Zhang, Ravi P. Agarwal, Guotao Wang   +3 more
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Monotonicity results for the fractional p-Laplacian in unbounded domains

Bulletin of Mathematical Sciences, 2021
In this paper, we develop a direct method of moving planes in unbounded domains for the fractional p-Laplacians, and illustrate how this new method to work for the fractional p-Laplacians.
Leyun Wu, Mei Yu, Binlin Zhang
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Radial symmetry of a relativistic Schrödinger tempered fractional p-Laplacian model with logarithmic nonlinearity

Nonlinear Analysis, 2022
In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic ...
Wenwen Hou, Lihong Zhang
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On the existence of ground state solutions to critical growth problems nonresonant at zero

Comptes Rendus. Mathématique, 2021
We prove the existence of ground state solutions to critical growth $p$-Laplacian and fractional $p$-Laplacian problems that are nonresonant at zero.
Perera, Kanishka
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Existence and Uniqueness of Solutions to Four-Point Impulsive Fractional Differential Equations with p-Laplacian Operator

Mathematics, 2022
In this paper, by using fixed-point theorems, the existence and uniqueness of positive solutions to a class of four-point impulsive fractional differential equations with p-Laplacian operators are studied. In addition, three examples are given to justify
Limin Chu, Weimin Hu, Youhui Su, Yongzhen Yun   +3 more
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Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem

Axioms, 2023
The existence of at least three weak solutions to a discrete fractional boundary value problem containing a p-Laplacian operator and subject to perturbations is proved using variational methods. Some applications of the main results are presented.
Shahin Moradi, Ghasem A. Afrouzi, John R. Graef   +2 more
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Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities

Advances in Nonlinear Analysis, 2022
In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
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A note on the existence and multiplicity of solutions for sublinear fractional problems

Boundary Value Problems, 2017
In this paper, we study the existence of weak solutions for fractional p-Laplacian equations with sublinear growth and oscillatory behavior as the following L K p u = λ f ( x , u ) in  Ω , u = 0 in  R N ∖ Ω , $$ \begin{aligned} &\mathcal{L}^{p}_{K}u ...
Yongqiang Fu
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Left-Inverses of Fractional Laplacian and Sparse Stochastic Processes [PDF]

, 2010
The fractional Laplacian $(-\triangle)^{\gamma/2}$ commutes with the primary coordination transformations in the Euclidean space $\RR^d$: dilation, translation and rotation, and has tight link to splines, fractals and stable Levy processes.
Sun, Qiyu, Unser, Michael
core   +4 more sources