Results 121 to 130 of about 28,437 (265)
Multiple positive solutions for a nonlocal problem involving critical exponent
This article concerns the nonlocal problem $$\displaylines{ -\Big(a-b\int_{\mathbb{R}^4}|\nabla u|^2\,dx\Big)\Delta u=|u|^2u+\mu f(x), \quad\text{in }\mathbb{R}^4,\cr u\in \mathcal{D}^{1,2}(\mathbb{R}^4), }$$ where a, b are positive constants, $\mu$
Yue Wang, Hong-Min Suo, Chun-Yu Lei
doaj
X‐Functionality–Driven Photocatalytic Hydrogen Evolution in 2D 4‐X‐PEA2SnI4 Perovskites
We report a water‐based synthesis of 2D 4‐X‐PEA2SnI4 perovskite microcrystals with prominent photocatalytic (PC) activity for H2 production. The synergy between organic functionalization and HI‐derived iodide scavenges holes suppress octahedral distortion, and favor electron accumulation, enabling a PC H2 evolution ∼20 µmol·g−1 and long‐term stability ...
Taeyeon Kim +21 more
wiley +1 more source
Existence of solutions for elliptic systems with critical Sobolev exponent
We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth.
Pablo Amster +2 more
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Wafer‐scale two‐dimensioanl In2Se3 oxidized into InOx on sodium‐embedded beta‐alumina enables multifunctional reconfigurable electronics. Sodium ions accumulate within distinct spatial distribution under drain‐controlle and gate‐controlled operation. Drain‐control operation gives controllability of ultraviolet‐driven optoelectronic synaptic conductance
Jinhong Min +13 more
wiley +1 more source
The nanostructure, size, and function of mRNA‐loaded lipid nanoparticles are evaluated before drying, within polymer microneedles, and after rehydration. The results reveal the polymer and LNP loadings required to recover nanostructure and preserve the delivery performance in dry‐state formulations.
Brendan P. Dyett +19 more
wiley +1 more source
Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent
We prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent.
Mohammed Bouchekif +1 more
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Titanium Suboxides Responsible for Electronic Anomaly Near Room Temperature in the Ti3C2Tx MXene
Our multi‐technique study reveals that the near‐room‐temperature anomaly in Ti3C2Tx MXene is linked to titanium suboxide nanodomains, including Ti3O5, embedded within the MXene host. Their temperature‐driven transformation provides an alternative explanation to solvent‐ and swelling‐based models and offers new insight into the thermally activated ...
Bence G. Márkus +8 more
wiley +1 more source
Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley +1 more source
Advances in Sustainable and Wearable Textile Based Soft Robotics
This Review examines advances in wearable textile‐based soft robotics, focusing on sustainable materials, integrated sensing, and scalable actuation. It discusses manufacturing and system integration across healthcare, assistive robotics, prosthetics, and human–machine interfaces, and highlights key challenges in circular design, including life‐cycle ...
Zahir Abbas +6 more
wiley +1 more source
Critical exponent for a damped wave system with fractional integral
We shall present the critical exponent $$ F(p, q,\alpha):=\max\big\{\alpha+\frac{(\alpha+1)(p+1)}{pq-1}, \alpha+\frac{(\alpha+1)(q+1)}{pq-1}\big\}-\frac{1}{2} $$ for the Cauchy problem $$\displaylines{ u_{tt}-u_{xx}+u_t=J_{0|t}^{\alpha}(|v|^{p}),
Mijing Wu, Shengjia Li, Liqing Lu
doaj

