Results 111 to 120 of about 154,676 (283)

Existence results and applications for general variational-hemivariational inequalities on unbounded domains

Electronic Journal of Differential Equations, 2009
In this paper we give an existence result for a class of variational-hemivariational inequality on unbounded domain using the mountain pass theorem and the principle of symmetric criticality for Motreanu-Panagiotopoulos type functionals.
Ildiko-Ilona Mezei, Lia Saplacan
doaj  

Hardy's inequality in unbounded domains

Topological Methods in Nonlinear Analysis, 2001
Let \(\Omega\) be a domain in \(\mathbb R^N\) \((N \geq 3)\) with non-empty boundary \(\partial \Omega\) and let \(\delta (x) : = \text{ dist} (x, \partial \Omega)\), \(x \in \mathbb R^N\). Denote by \(D^{1, 2}_{\varepsilon} (\Omega)\) the completion of \(D (\Omega)\) with respect to the inner product \((u, v) := \int_{\Omega} \delta^{\varepsilon ...
openaire   +4 more sources

Positive polynomials on unbounded domains

, 2017
Certificates of non-negativity such as Putinar's Positivstellensatz have been used to obtain powerful numerical techniques to solve polynomial optimization (PO) problems. Putinar's certificate uses sum-of-squares (sos) polynomials to certify the non-negativity of a given polynomial over a domain defined by polynomial inequalities.
Pena, Javer, Vera, Juan C., Zuluaga, Luis F.   +2 more
openaire   +2 more sources

A Colloidal Quantum Dot Thermistor and Bolometer

Advanced Materials, EarlyView.
This work introduces colloidal quantum dot thermistors employing a potential barrier structure to tune the activation energy of transport and hence the temperature coefficient of resistance (TCR). Upon integration with plasmonic absorbers, the CQD‐based bolometer device enables room‐temperature wavelength‐selective photodetection across the mid‐ to ...
Gaurav Kumar, Mariona Dalmases, Nima Taghipour, Rajesh Bera, Guy L. Whitworth, Goretti Torres Perez, Miguel Dosil, Gerasimos Konstantatos   +7 more
wiley   +1 more source

Random attractors of Kirchhoff-type reaction–diffusion equations without uniqueness driven by nonlinear colored noise

Open Mathematics
In this article, we consider the asymptotic behavior of solutions for the Kirchhoff-type reaction–diffusion equations driven by a nonlinear colored noise defined on unbounded domains. We prove the existence and uniqueness of pullback random attractors by
Zhang Zhang, Yao Xiaobin
doaj   +1 more source

Stochastic modulation equations on unbounded domains

, 2017
We study the impact of small additive space-time white noise on nonlinear stochastic partial differential equations (SPDEs) on unbounded domains close to a bifurcation, where an infinite band of eigenvalues changes stability due to the unboundedness of the underlying domain.
Bianchi, Luigi Amedeo, Blömker, Dirk
openaire   +2 more sources

Self‐Assembled Monolayers in p–i–n Perovskite Solar Cells: Molecular Design, Interfacial Engineering, and Machine Learning–Accelerated Material Discovery

Advanced Materials, EarlyView.
This review highlights the role of self‐assembled monolayers (SAMs) in perovskite solar cells, covering molecular engineering, multifunctional interface regulation, machine learning (ML) accelerated discovery, advanced device architectures, and pathways toward scalable fabrication and commercialization for high‐efficiency and stable single‐junction and
Asmat Ullah, Ying Luo, Stefaan De Wolf
wiley   +1 more source

On the second eigenvalue of a Hardy-Sobolev operator

Electronic Journal of Differential Equations, 2004
In this note, we study the variational characterization and some properties of the second smallest eigenvalue of the Hardy-Sobolev operator $L_{mu}:=-Delta_{p}-frac{mu}{|x|^p}$ with respect to an indefinite weight $V(x)$.
Konijeti Sreenadh
doaj  

Stable Protein‐Based G‐Quadruplex‐Derived Supramolecular Bioinks as Tunable ECM‐Mimetic Constructs Assembled by Combining Non‐Covalent and Covalent Strategies

Advanced Materials, EarlyView.
Harnessing the synergistic interplay of supramolecular self‐assembly, under macromolecular crowding conditions, and enzymatic‐mediated covalent crosslinking toward a stable protein‐based G‐quadruplex‐derived supramolecular bioink. This bioinspired strategy enables the biofabrication of complex and tunable ECM‐mimetic constructs, providing a platform ...
Vera Sousa, Rita Sobreiro‐Almeida, Bart W. L. van den Bersselaar, E. W. Meijer, Ghislaine Vantomme, João Borges, João F. Mano   +6 more
wiley   +1 more source

Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain

Fractal and Fractional
The fractional-order Benjamin-Bona-Mahony-Burgers (BBMB) equation is a generalization of the classical BBMB equation. It’s dynamic behaviors is much more complex than that of the corresponding integer-order BBMB equation.
Wei Zhang, Haijing Wang, Haolu Zhang, Zhiyuan Li, Xiaoyu Li   +4 more
doaj   +1 more source