Results 71 to 80 of about 473,820 (257)

Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials

Advanced Nonlinear Studies, 2017
In this paper, we consider a class of Schrödinger equations involving fractional Laplacian and indefinite potentials. By modifying the definition of the Nehari–Pankov manifold, we prove the existence and asymptotic behavior of least energy solutions.
Tang Zhongwei, Wang Lushun
doaj   +1 more source

Point-like perturbed fractional Laplacians through shrinking potentials of finite range

, 2018
We reconstruct the rank-one, singular (point-like) perturbations of the $d$-dimensional fractional Laplacian in the physically meaningful norm-resolvent limit of fractional Schr\"{o}dinger operators with regular potentials centred around the perturbation
Michelangeli, Alessandro, Scandone, Raffaele   +1 more
core   +1 more source

Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional 𝑝-Laplacian

Advanced Nonlinear Studies, 2020
In this paper, we consider a class of critical concave convex Ambrosetti–Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with ...
Bueno H. P., Huerto Caqui E., Miyagaki O. H., Pereira F. R.   +3 more
doaj   +1 more source

On the fractional Laplacian of a function with respect to another function

Mathematical methods in the applied sciences
The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function.
A. Fernandez, J. Restrepo, J. Djida
semanticscholar   +1 more source

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
doaj   +1 more source

The influence of fractional diffusion in Fisher-KPP equations

, 2012
We study the Fisher-KPP equation where the Laplacian is replaced by the generator of a Feller semigroup with power decaying kernel, an important example being the fractional Laplacian.
A.N. Kolmogorov, C.K.R.T. Jones, D. Del-Castillo-Negrete, D. Del-Castillo-Negrete, D.G. Aronson, F. Hamel, H. Berestycki, J. Garnier, J. Lamperti, J.-M. Bony, Jean-Michel Roquejoffre, R. Mancinelli, V.N. Kolokoltsov, X. Cabré, Xavier Cabré   +14 more
core   +3 more sources

Explicit Iteration and Unique Positive Solution for a Caputo-Hadamard Fractional Turbulent Flow Model

IEEE Access, 2019
Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang, Xueyan Ren, Lihong Zhang, Bashir Ahmad   +3 more
doaj   +1 more source

Non degeneracy of the bubble in the critical case for non local equations

, 2013
We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional ...
Davila, Juan, del Pino, Manuel, Sire, Yannick   +2 more
core   +3 more sources

Structural Eigenmodes of the Brain to Improve the Source Localization of EEG: Application to Epileptiform Activity

Advanced Science, EarlyView.
Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu, Philippa J. Karoly, Sina Mansour L., Artemio Soto‐Breceda, Levin Kuhlmann, Mark J. Cook, David B. Grayden   +6 more
wiley   +1 more source

Dirichlet fractional Laplacian in multi-tubes

Journal of Spectral Theory, 2023
We describe the spectrum structure for the restricted Dirichlet fractional Laplacian in multi-tubes, i.e., domains with cylindrical outlets to infinity. Some new effects in comparison with the local case are discovered.
Fedor L. Bakharev, Alexander I. Nazarov
openaire   +3 more sources