Results 51 to 60 of about 4,205,835 (294)

The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents

Abstract and Applied Analysis, 2019
Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev ...
M. Khiddi
doaj   +1 more source

Neumann’s Principle Based Eigenvector Approach for Deriving Non-Vanishing Tensor Elements for Nonlinear Optics [PDF]

, 2022
Physical properties are commonly represented by tensors, such as optical susceptibilities. Conventional approach of deriving non-vanishing tensor elements of symmetric systems relies on the intuitive consideration of positive/negative sign flipping after
Zishan, Wu, Wei, Xiong, Zishan Wu, Wei Xiong   +3 more
core   +1 more source

Multimodal Optoelectronic Synapses for Neuromorphic Intelligence: Coupling Light, Electrical, Thermal, and Beyond

Advanced Functional Materials, EarlyView.
This review revisits optoelectronic neuromorphic devices that extend from unimodal sensing toward multimodal perception. Five types of stimuli‐to‐output information flow that are classified based on the device roles within the system and applications are summarized and discussed.
Jihyun Shin, Junhyung Cho, Wangmyung Choi, Jaehyun Hur, Jae Kyeong Jeong, Ulrike Kraft, Hocheon Yoo   +6 more
wiley   +1 more source

Maximum principle for a class of nonlinear elliptic systems

Journal of Mathematical Analysis and Applications
We prove a maximum principle result for a class of nonlinear elliptic systems of the form−div(A(x,u(x),Du(x)))=0x∈Ω. The result is obtained by assuming a componentwise sign condition.
Leonetti, Francesco, Macri Marta, Nastasi, Antonella, Zhang, Aiping   +3 more
openaire   +2 more sources

Memristive‐Gated RC‐Delay Synaptic Transistors for Time‐Encoded Analog in‐Memory Computing

Advanced Functional Materials, EarlyView.
A Memristive‐Gated Transistor for Time‐Encoded Analog In‐Memory Computing — By exploiting the RC delay of a self‐rectifying interface‐type memristor, nonlinear I–V distortion is structurally bypassed, enabling 3‐bit nonvolatile memory, spike‐timing‐based analog encoding, and hardware‐calibrated reservoir‐computing validation within a unified device ...
Yun‐Seo Shin, Eunjoo Yoo, Ki‐Hoon Son, Hyun‐Sik Kim, Dae‐Hee Han, Jeong Hyeon Son, Seung Hwan Lee, Hong‐Sub Lee   +7 more
wiley   +1 more source

Maximum principles, sliding techniques and applications to nonlocal equations

Electronic Journal of Differential Equations, 2007
This paper is devoted to the study of maximum principles holding for some nonlocal diffusion operators defined in (half-) bounded domains and its applications to obtain qualitative behaviors of solutions of some nonlinear problems.
Jerome Coville
doaj  

Emerging Post‐CMOS Hardware Neurons for Brain‐Inspired Computing: Devices, Circuits, and System Integration

Advanced Functional Materials, EarlyView.
The physical realization of artificial neurons is a critical challenge for energy‐efficient neuromorphic computing. This review presents a comprehensive analysis of the evolution of artificial neuron implementations from conventional CMOS to emerging post‐CMOS technologies.
Kannan Udaya Mohanan, Hocheon Yoo, Benoît H. Lessard, Ioannis Kymissis, Chang‐Hyun Kim   +4 more
wiley   +1 more source

The Latent Maximum Entropy Principle [PDF]

, 2012
We present an extension to Jaynes’ maximum entropy principle that incorporates latent variables. The principle of latent maximum entropy we propose is different from both Jaynes’ maximum entropy principle and maximum likelihood estimation, but can yield ...
Wang, Shaojun, Zhao, Yunxin, Schuurmans, Dale   +2 more
core   +1 more source

Mechanics of Telson Ridges in Mantis Shrimp for Impact Analysis and Implications for Bioinspired Elastic Shell Designs

Advanced Functional Materials, EarlyView.
The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika, Adwait Trikanad, Wei Huang, Taige Hao, David Kisailus, Pablo D. Zavattieri   +5 more
wiley   +1 more source

Maximum principle and existence of positive solutions for nonlinear systems on $R^N$

Electronic Journal of Differential Equations, 2005
In this paper, we study the following non-linear system on $mathbb{R}^N$ $$displaylines{ -Delta_pu=a(x)|u|^{p-2}u+b(x)|u|^{alpha}|v|^{eta}v+fquad xin mathbb{R}^Ncr -Delta_qv=c(x)|u|^{alpha}|v|^{eta}u+d(x)|v|^{q-2}v+g quad xin mathbb{R}^Ncr lim_{|x|oinfty}
Hassan M. Serag, Eada A. El-Zahrani
doaj