Results 81 to 90 of about 24,018,000 (299)

Eigenvalues and the One-Dimensional p-Laplacian

Journal of Mathematical Analysis and Applications, 2002
The authors are concerned with determining values of \(\lambda\), for which there exist positive solutions to the boundary value problem \[ (\phi_p(u'))'+ \lambda F(t,u)= 0\quad\text{in }(0,1),\quad u(0)= u(1)= 0,\tag{P} \] with \(\phi_p(s)=|s|^{p-2}s\) and \(p> 1\).
Agarwal, Ravi P., Lü, Haishen, O'Regan, Donal   +2 more
openaire   +3 more sources

Nonlinear weighted $p$p-Laplacian elliptic inequalities with gradient terms

, 2010
In this paper, we give sufficient conditions for the existence and nonexistence of nonnegative nontrivial entire weak solutions of p-Laplacian elliptic inequalities, with possibly singular weights and gradient terms, of the form div{g(|x|)|Du|p-2Du} ≥ h(|
M. Rigoli, R. Filippucci, MARCO RIGOLI, P. Pucci, PUCCI, Patrizia, PATRIZIA PUCCI, ROBERTA FILIPPUCCI, FILIPPUCCI, Roberta   +7 more
core   +1 more source

Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]

, 2009
Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
core   +1 more source

Nodal properties for p-Laplacian systems

Electronic Journal of Differential Equations, 2017
We consider a system of differential equations involving the p-Laplacian. We prove the existence of oscillatory solutions with prescribed numbers of zeros, and show that the solutions satisfy the Dirichlet boundary conditions when the large parameters
Yan-Hsiou Cheng, Wei-Chuan Wang
doaj  

System of degenerate parabolic p-Laplacian

Open Mathematics
In this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
doaj   +1 more source

Resolution Enhancement by Prediction of the High-Frequency Image Based on the Laplacian Pyramid

EURASIP Journal on Advances in Signal Processing, 2006
According to recent advances in digital image processing techniques, interest in high-quality images has been increased. This paper presents a resolution enhancement (RE) algorithm based on the pyramid structure, in which Laplacian histogram matching is
Yang Seungjoon, Jeon Bo-Won, Park Rae-Hong   +2 more
doaj   +1 more source

Existence Results for Singular p(x)-Laplacian Equation

Advances in Pure and Applied Mathematics, 2022
R. Alsaedi, K. Ben Ali, A. Ghanmi
doaj   +1 more source

Asymmetric critical fractional p-Laplacian problems

Electronic Journal of Differential Equations, 2017
We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
doaj  

Competing anisotropic and Finsler ( p , q ) $(p,q)$ -Laplacian problems

Boundary Value Problems
The aim of this paper is to prove the existence of generalized variational solutions for nonlinear Dirichlet problems driven by anisotropic and Finsler Laplacian competing operators.
Dumitru Motreanu, Abdolrahman Razani
doaj   +1 more source

Eigenvalue problems with p-Laplacian operators

Electronic Journal of Differential Equations, 2014
In this article, we study eigenvalue problems with the p-Laplacian operator: $$ -(|y'|^{p-2}y')'= (p-1)(\lambda\rho(x)-q(x))|y|^{p-2}y \quad \text{on } (0,\pi_{p}), $$ where p>1 and $\pi_{p}\equiv 2\pi/(p\sin(\pi/p))$.
Yan-Hsiou Cheng
doaj