Results 141 to 150 of about 200,721 (332)
Non-homogeneous problem for fractional Laplacian involving critical Sobolev exponent
Electronic Journal of Differential Equations, 2017 In this article, we study the existence of positive solutions for the nonhomogeneous fractional equation involving critical Sobolev exponent $$\displaylines{ (-\Delta)^{s} u +\lambda u=u^p+\mu f(x), \quad u>0\quad \text{in } \Omega,\cr u =0, \quad \
Kun Cheng, Li Wang
doaj
Phase transitions of wave packet dynamics in disordered non-Hermitian systems
SciPost PhysicsDisorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space wave packets ...
Helene Spring, Viktor Könye, Fabian A. Gerritsma, Ion Cosma Fulga, Anton R. Akhmerov
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Comment on Effective Critical Exponents in the Spherical Limit [PDF]
, 1978 Yutaka Okabe
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Advanced Functional Materials, EarlyView.A series of ultraviolet‐ and near‐infrared radiation sensitive photoactivatable hydrogels are developed that can be controlled spatiotemporally down to µm precisions using one‐ and two‐photon uncaging. The latent hydroxylamine‐, hydrazine‐, and amine uncaged moieties are used to photopattern a series of diverse proteins displaying complimentary ...
Tove Kivijärvi +6 more
wiley +1 more source
The existence of ground state solutions for critical Hénon equations in $\mathbb{R}^N$ [PDF]
arXivIn this paper we confirm that $2^*(\gamma)=\frac{2(N+\gamma)}{N-2}$ with $\gamma>0$ is exactly the critical exponent for the embedding from $H_r^1(\mathbb{R}^N)$ into $L^q(\mathbb{R}^N;|x|^\gamma)$($N\geqslant 3$) (see \cite{2007SWW-1,2007SWW-2}) and name it as the upper H\'enon-Sobolev critical exponent.
arxiv
An existence result for nonlinear elliptic problems involving critical Sobolev exponent [PDF]
, 1985 A. Capozzi +2 more
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Optical Hydrogen Sensing Materials for Applications at Sub‐Zero Temperatures
Advanced Functional Materials, EarlyView.This study demonstrates the viability of optical hydrogen sensors at temperatures as low as −60°C. Using advanced metal hydride materials, the sensors detect hydrogen with high sensitivity, speed, and stability across a wide range of concentrations. These findings open doors for safe hydrogen detection in extreme cold, enabling applications in aviation,
Ziqing Yuan +4 more
wiley +1 more source
A Brezis-Nirenberg problem on hyperbolic spaces
Electronic Journal of Differential Equations, 2019 We consider a Brezis-Nirenberg problem on the hyperbolic space $\mathbb{H}^n$. By using the stereographic projection, the problem becomes a singular problem on the boundary of the open ball $B_1(0)\subset \mathbb{R}^n$. Thanks to the Hardy inequality,
Paulo C. Carriao +3 more
doaj
An existence result for variational problems and applications to some nonlinear hyperbolic and elliptic equations involving critical Sobolev exponents [PDF]
, 1987 Mario Michele Coclite
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Advanced Functional Materials, EarlyView.This work investigates modifying interfacial contacts in realizing giant‐performance semiconductor nanomembrane optoelectronics. Strategies, including surface reaction and buffer layer work‐function modulation, are explored to boost the Schottky barrier. An emerging material of YbOx is utilized for near‐ideal Ohmic contact.
Yibo Zhang +5 more
wiley +1 more source