Results 31 to 40 of about 163,164 (293)

Eigenvalues of the $p(x)-$biharmonic operator with indefinite weight] {Eigenvalues of the $p(x)-$biharmonic operator with indefinite weight under Neumann boundary conditions

Boletim da Sociedade Paranaense de Matemática, 2018
In this paper we will study the existence of solutions for the nonhomogeneous elliptic equation with variable exponent $\Delta^2_{p(x)} u=\lambda V(x) |u|^{q(x)-2} u$, in a smooth bounded domain,under Neumann boundary conditions, where $\lambda$ is a positive real number, $p,q: \overline{\Omega} \rightarrow \mathbb{R}$, are continuous functions, and $V$
Zakaria El Allali, Said Taarabti, Khalil Ben Haddouch   +2 more
openaire   +3 more sources

Linear Operator Inequality and Null Controllability with Vanishing Energy for Unbounded Control Systems [PDF]

, 2013
We consider a linear boundary or point control system on a Hilbert space $H$ which is null controllable at some time $T_0 >0$. To every initial state $ y_0 \in H$ we associate the minimal ``energy'' needed to transfer $ y_0 $ to $ 0 $ in a time $ T \ge ...
Zabczyk, J., Enrico Priola, Priola E., Luciano Pandolfi, Jerzy Zabczyk, Zabczyk J., Priola, E., Pandolfi, Luciano   +7 more
core   +1 more source

Fuglede–Putnam type theorems for (p,k) $(p,k)$-quasihyponormal operators via hyponormal operators

Journal of Inequalities and Applications, 2019
For Hilbert space operators S, X, and T, (S,X,T)∈FP $(S,X,T)\in FP$ means Fuglede–Putnam theorem holds for triplet (S,X,T) $(S,X,T)$, that is, SX=XT $SX=XT$ ensures S∗X=XT∗ $S^{\ast }X=XT^{\ast }$. Similarly, (S,T)∈FP $(S,T)\in FP$ means (S,X,T)∈FP $(S,X,
Jiang-Tao Yuan, Cai-Hong Wang
doaj   +1 more source

Adaptive Smoothing for Visual Improvement of Image Quality via the p(x)-Laplacian Operator Effects of the p(x)-Laplacian Smoothing Operator on Digital Image Restoration: Contribution to an Adaptive Control Criterion

Applied Sciences, 2023
This article concerns the improvement of digital image quality using mathematical tools such as nonlinear partial differential operators. In this paper, to perform smoothing on digital images, we propose to use the p(x)-Laplacian operator.
Jean-Luc Henry, Jimmy Nagau, Jean Velin, Issa-Paul Moussa   +3 more
doaj   +1 more source

Existence and multiplicity results for nonlinear problems involving the p(x)-Laplace operator [PDF]

Opuscula Mathematica, 2014
In this paper we study the following nonlinear boundary-value problem \[-\Delta_{p(x)} u=\lambda f(x,u) \quad \text{ in } \Omega,\] \[|\nabla u|^{p(x)-2}\frac{\partial u}{\partial \nu}+\beta(x)|u|^{p(x)-2}u=\mu g(x,u) \quad \text{ on } \partial\Omega ...
Najib Tsouli, Omar Darhouche
doaj   +1 more source

On p→(x)-Anisotropic Problems with Neumann Boundary Conditions

International Journal of Differential Equations, 2015
This work is devoted to the study of a general class of anisotropic problems involving p→(·)-Laplace operator. Based on the variational method, we establish the existence of a nontrivial solution without Ambrosetti-Rabinowitz type conditions.
Anass Ourraoui
doaj   +1 more source

Nonexistence results for some nonlinear elliptic and parabolic inequalities with functional parameters

Electronic Journal of Qualitative Theory of Differential Equations, 2015
We obtain results on nonexistence of nontrivial nonnegative solutions for some elliptic and parabolic inequalities with functional parameters involving the $p(x)$-Laplacian operator. The proof is based on the test function method.
Evgeny Galakhov, Olga Salieva, Liudmila Uvarova   +2 more
doaj   +1 more source

The dimension-free estimate for the truncated maximal operator

Open Mathematics, 2022
We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
doaj   +1 more source

Modifications in the SIFT operator for effective SAR image matching

, 2010
With the increasing availability and rapidly improving spatial resolution of SAR images from latest and future satellites like TerraSAR-X and TanDEM-X, their applicability in remote sensing applications is set to be paramount.
Sahil Suri, Reinartz, Peter, Peter Schwind, Johannes Uhl, Schwind, Peter, Suri, Sahil, Peter Reinartz, Uhl, Johannes   +7 more
core   +1 more source

Multiple Solutions for Problems Involving p(x)-Laplacian and p(x)-Biharmonic Operators

Zurnal matematiceskoj fiziki, analiza, geometrii
Summary: In this paper, we consider the following \(p(x)\)-biharmonic problem with Hardy nonlinearity: \[\begin{cases} \Delta_{p(x)}^2u-\Delta_{p(x)}u =\lambda \frac{|u|^{p(x)-2}u}{\delta(x)^{2p(x)}}+f(x,u) \quad& \text{in }\Omega,\\ u=0\quad & \text{on }\partial\Omega,\\ |\nabla u|^{p(x)-2}\frac{\partial u}{\partial n}=g(x,u) \quad & \text{on ...
Sahbani, Abdelhakim, Ghanmi, Abdeljabbar, Chammem, Rym   +2 more
openaire   +2 more sources