Results 11 to 20 of about 31,295 (230)

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 fractional Laplacians – 3 [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2016
For s > −1 we compare two natural types of fractional Laplacians (−\mathrm{\Delta })^{s} , namely, the “Navier” and the “Dirichlet” ones.
Roberta Musina, Alexander I. Nazarov
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A priori estimates of solutions to nonlinear fractional Laplacian equation

Electronic Research Archive, 2023
In this paper, we focus on the research of a priori estimates of several types of semi-linear fractional Laplacian equations with a critical Sobolev exponent.
Tao Zhang , Tingzhi Cheng
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The Fractional Laplacian with Reflections

Potential Analysis, 2023
AbstractMotivated by the notion of isotropic $$\alpha $$ α -stable Lévy processes confined, by reflections, to a bounded open Lipschitz set $$D\subset \mathbb {R}^d$$ D ⊂ R
Bogdan, Krzysztof, Kunze, Markus
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On the Convergence Result of the Fractional Pseudoparabolic Equation

Journal of Mathematics, 2023
In this paper, we consider the nonlinear fractional Laplacian pseudoparabolic equation (NFLPPE). We mainly focus on the convergence of mild solutions with respect to the order of fractional Laplacian.
Nguyen Van Tien, Reza Saadati
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On comparison of fractional Laplacians [PDF]

Nonlinear Analysis, 2022
For $s>-1$, $s\notin\mathbb N_0$, we compare two natural types of fractional Laplacians $(- )^s$, namely, the restricted Dirichlet and the spectral Neumann ones. We show that for the quadratic form of their difference taken on the space $\tilde{H}^s( )$ is positive or negative depending on whether the integer part of $s$ is even or odd.
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Fractional Laplacian pyramids [PDF]

2009 16th IEEE International Conference on Image Processing (ICIP), 2009
We provide an extension of the L 2 -spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyharmonic splines to derive an efficient, non-separable filterbank implementation.
Delgado-Gonzalo, Ricard, Tafti, Pouya Dehghani, Unser, Michael   +2 more
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Modeling Long-Distance Forward and Backward Diffusion Processes in Tracer Transport Using the Fractional Laplacian on Bounded Domains

Fractal and Fractional, 2023
Recent studies have emphasized the importance of the long-distance diffusion model in characterizing tracer transport occurring within both subsurface and surface environments, particularly in heterogeneous systems.
Zhipeng Li, Hongwu Tang, Saiyu Yuan, Huiming Zhang, Lingzhong Kong, HongGuang Sun   +5 more
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Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces

Boundary Value Problems, 2021
We investigate the multiplicity of solutions for problems involving the fractional N-Laplacian. We obtain three theorems depending on the source terms in which the nonlinearities cross some eigenvalues. We obtain these results by direct computations with
Q-Heung Choi, Tacksun Jung
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