Results 91 to 100 of about 6,950 (285)

Maximal regularity for non-autonomous Robin boundary conditions [PDF]

, 2016
International audienceWe consider a non-autonomous Cauchy problem involving linear operators associated with time-dependent forms $a(t;.,.):V\times V\to {\mathbb{C}}$ where $V$ and $H$ are Hilbert spaces such that $V$ is continuously embedded in $H$.
Arendt, Wolfgang, Monniaux, Sylvie
core  

Regularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domains [PDF]

, 2011
For a linear, strictly elliptic second order differential operator in divergence form with bounded, measurable coefficients on a Lipschitz domain Ω we show that solutions of the corresponding elliptic problem with Robin and thus in particular with ...
Nittka, Robin, Robin Nittka
core   +1 more source

Sub‐Nanometer Curvature Unlocks Quantum Orbital Flexoelectricity in Graphene

Advanced Materials, EarlyView.
In self‐assembled, reproducible, large‐area, quasi‐pristine graphene nanowrinkles, extreme curvature forces out‐of‐plane π‐electrons toward hybridization, driving a transition from classical to quantum orbital flexoelectricity. As curvature approaches the fundamental physical limit set by the C─C bond length, the resulting polarization increases by ...
Sathvik Ajay Iyengar, James G. McHugh, Jonathan P. Salvage, Robert Vajtai, Venkataramana Gadhamshetty, Alan B. Dalton, Manoj Tripathi, Pulickel M. Ajayan, Vincent Meunier   +8 more
wiley   +1 more source

Stable Robin boundary conditions for the Navier-Stokes equations [PDF]

, 2011
In this paper we prove stability of Robin solid wall boundary conditions for the compressible Navier-Stokes equations. Applications include the no-slip boundary conditions with prescribed temperature or temperature gradient and the rst order slip-ow ...
Lindström, Jens, Lindström Berg, Jens, Nordström, Jan   +2 more
core  

Infinitely Many Solutions for a Robin Boundary Value Problem

International Journal of Differential Equations, 2010
By combining the embedding arguments and the variational methods, we obtain infinitely many solutions for a class of superlinear elliptic problems with the Robin boundary value under weaker conditions.
Aixia Qian, Chong Li
doaj   +1 more source

The thermistor problem with Robin boundary condition

Rendiconti del Seminario Matematico della Università di Padova, 2016
We study the thermistor problem with Robin boundary condition for the temperature. A theorem of existence is proved using the compensated compactness method. For the one-dimensional case a result of non-existence and non-uniqueness is also given.
openaire   +1 more source

Concentrating solutions of the Liouville equation with Robin boundary condition

Journal of Differential Equations, 2012
Let \(\varepsilon >0\) small enough and \(\lambda>0\) large. Assume that \(\Omega\subset {\mathbb R}^2\) is a bounded domain with smooth boundary. The authors construct solutions to the Liouville equation \[ \Delta u+\varepsilon^2e^u=0\qquad \text{in}\;\Omega\,, \] under the Robin boundary condition \[ \frac{\partial u}{\partial\nu}+\lambda u=0\qquad ...
Dávila, Juan, Topp Paredes, Erwin
openaire   +4 more sources

Ligand Engineering for Precise Control of Ultrathin CsPbI3 Nanoplatelet Superlattices for Efficient Light‐Emitting Diodes

Advanced Materials, EarlyView.
In this work, we introduce ancillary‐ligand‐mediated growth control of ultrathin CsPbI3 PeNPLs to achieve highly uniform thickness and reduced agglomeration. Strong ancillary‐ligand coordination to the perovskite surface regulates nucleation and improves surface passivation, enabling color‐pure emission and preferentially oriented superlattices.
Jongbeom Kim, Woo Hyeon Jeong, Junzhi Ye, Allison Nicole Arber, Vikram, Donghan Kim, Yi‐Teng Huang, Yixin Wang, Dongeun Kim, Dongryeol Lee, Chia‐Yu Chang, Xinyu Shen, Sung Yong Bae, Ashish Gaurav, Ye In Kim, Jinkyu Yang, Boseung Je, Changsoon Cho, Akshay Rao, Henry J. Snaith, M. Saiful Islam, Bo Ram Lee, Myoung Hoon Song, Robert L. Z. Hoye   +23 more
wiley   +1 more source

Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition

Journal of Inequalities and Applications, 2017
The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in R 2 $\mathbb{R}^{2}$ . Also the lower bound for the first positive eigenvalue of the boundary value problem is obtained.
Ülkü Dinlemez Kantar, Tülay Özden
doaj   +1 more source

Electroactive 3D Porous Graphene Foam Impedimetric Biosensor for Ultrasensitive Detection of MCF‐7‐Cells‐Derived Extracellular Vesicles in Human Serum

Advanced Materials Technologies, EarlyView.
A label‐free impedimetric biosensor based on electroactive 3D porous graphene foam enables ultrasensitive and selective detection of CD81 protein and MCF‐7 cell‐derived extracellular vesicles in human serum. Detection limits of 0.048 fg/mL for CD81 and ∼24 EVs/mL are achieved, demonstrating a robust platform for selective, label‐free, and ...
Michael Robert Furness, Ashish Kalkal, Tia Wardlaw, Jessica Valli, Suresh Chandra Baral, Pablo Lozano Sanchez, Marco Caffio, Sudhagar Pitchaimuthu, Olga Oikonomidou, Jason Webber, Nick R. Leslie, Anitha Devadoss   +11 more
wiley   +1 more source