Results 111 to 120 of about 2,162,787 (303)

Harnack inequality for nonlinear elliptic equations with strong absorption [PDF]

, 2017
We develop Harnack inequalities for two different types of equations. First we consider a fully nonlinear uniformly elliptic equation related to the Pucci’s maximal and the minimal operators.
Porru, Giovanni, Ahmed Mohammed, Giovanni Porru, Mohammed, Ahmed, VITOLO, Antonio, Antonio Vitolo   +5 more
core   +1 more source

Intelligent Field‐Adaptive Electrohydrodynamic Printing for Curved Conformal Electronics

Advanced Science, EarlyView.
To mitigate residual‐charge accumulation and spatial electric‐field variations during electrohydrodynamic printing on curved insulating substrates, an intelligent field‐adaptive framework combines alternating‐electric‐field modulation, equivalent electrical gap characterization, and machine‐learning‐guided parameter inversion and pathwise regulation ...
Chang Liu, Yiwen Feng, Xu Chen, Kaiwen Chen, Ran Zhang, Xiaopeng Zhang, Liujia Suo, Xiangji Chen, Zefei Li, Fengshu Wang, Ruixuan Xu, Shuaiwu Liu, Shiwen Liang, Lingjie Kong, Dazhi Wang   +14 more
wiley   +1 more source

Bounds and compactness for solutions of second-order elliptic equations

Electronic Journal of Differential Equations, 2012
In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations.
Carlos C. Aranda
doaj  

µSlicer for Programmable Multimaterial 3D Printing

Advanced Science, EarlyView.
ABSTRACT Nature rarely builds with uniform materials; instead, it achieves exceptional performance by arranging composition and structure across multiple length scales. Mimicking such architectures has become increasingly feasible with additive manufacturing, and especially with multimaterial 3D printing, where complex structures with spatially varying
Daniel H. Meile, Berin Šeta, Md. Tusher Mollah, Yohan Jacquet, Rob Wolfs, Jon Spangenberg   +5 more
wiley   +1 more source

Existence Of Two Positive Solutions For Anisotropic Nonlinear Elliptic Equations

, 2021
This paper deals with the existence of nontrivial solutions for a class of nonlinear elliptic equations driven by an anisotropic Laplacian operator.
Sciammetta, A, D'Agui, G, Bonanno, G
core   +1 more source

Metasurface‐Based Multidimensional Light‐Field Manipulation: From Technologies to Applications

Advanced Science, EarlyView.
Multidimensional metasurfaces enable versatile manipulation of multiple optical degrees of freedom, including phase, amplitude, polarization, wavelength, and orbital angular momentum. This review summarizes their fundamental mechanisms, emerging strategies for multidimensional light‐field control, and key applications in optical computing, imaging ...
Heliang Yin, Shuo Sun, Jiahao Zhang, Jianuo Hu, Yubin Qiao, Liang Chen, Jin Li   +6 more
wiley   +1 more source

THE EXISTENCE OF SOLUTIONS OF A NONLINEAR ELLIPTIC EQUATION

Far East Journal of Dynamical Systems, 2006
This paper concerns with a nonlinear elliptic equation, where the nonlinearity crosses two eigenvalues and source terms. We investigate relations between multiplicity of solutions and source terms in the equation.
openaire   +2 more sources

Strain‐Enhanced Ultrastretchable Semiconducting Polymer Fibers for Organic Electrochemical Transistors

Advanced Science, EarlyView.
The continuous fabrication of stretchable polymer semiconductor p(g2T‐T) fibers is realized via wet‐spinning. The p(g2T‐T) semiconductor fibers possess an efficient strain energy dissipation mechanism and unique strain‐enhanced electrical performance. They can be stretched to over 250% strain and exhibit an ultrahigh normalized transconductance of 276 ...
Zixu Chang, Ziao Xu, Qi Tang, Mingjuan Du, Faqiang Wang, Jiexun Zhu, Jianyong Yu, Bin Ding, Zhaoling Li   +8 more
wiley   +1 more source

Elliptic equations with discontinuous nonlinearities

Topological Methods in Nonlinear Analysis, 1993
The paper deals with the existence and nonexistence of positive solutions of nonlinear elliptic equations, with the nonlinear term discontinuous in the unknown function. The authors distinguish between 3 types of solutions. Topological methods -- specifically the degree theory -- are employed to obtain the existence of solutions, either in \(\mathbb{R}^
Allegretto W., NISTRI, PAOLO
openaire   +5 more sources

Living Electronics: Microbial Metabolism as Batteries, Resistors, and Capacitors

Advanced Electronic Materials, EarlyView.
Three microorganisms are assigned the three elementary roles of a circuit on one sheet of paper. Dormant Bacillus subtilis spores germinate to switch the power source on; a photosynthetic Synechocystis biofilm sets resistance by the color and intensity of light; and a respiring Shewanella oneidensis biofilm stores charge. Together they form a printable
Botian Wang, Ruohan Zhang, Seokheun Choi
wiley   +1 more source