Results 41 to 50 of about 6,600 (212)

Exact multiplicity of positive solutions in semipositone problems with concave-convex type nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations, 2001
We study the existence, multiplicity, and stability of positive solutions to: $$\eqalign{- u''(x) &= \lambda f(u(x)) \ \text{for} \ x \in (-1, 1), \lambda > 0, \cr u(-1)&= 0\ = u(1) ,}$$ where $f : [0, \infty) \to \Bbb R$ is semipositone ($f(0) 0$, we ...
Joseph Iaia, S. Gadam
doaj   +1 more source

Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional 𝑝-Laplacian

Advanced Nonlinear Studies, 2020
In this paper, we consider a class of critical concave convex Ambrosetti–Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with ...
Bueno H. P., Huerto Caqui E., Miyagaki O. H., Pereira F. R.   +3 more
doaj   +1 more source

Spectral Efficiency and Energy Efficiency of OFDM Systems: Impact of Power Amplifiers and Countermeasures [PDF]

, 2013
In wireless communication systems, the nonlinear effect and inefficiency of power amplifier (PA) have posed practical challenges for system designs to achieve high spectral efficiency (SE) and energy efficiency (EE).
Ho, Chin Keong, Joung, Jingon, Sun, Sumei   +2 more
core   +1 more source

Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper, we consider the multiplicity of nontrivial solutions for a class of nonperiodic fourth-order equation with concave and convex nonlinearities.
Ruiting Jiang, Chengbo Zhai
doaj   +1 more source

Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials

Advanced Materials, EarlyView.
A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella, Kobra Azizi, Dirk M. Guldi, Tomás Torres   +3 more
wiley   +1 more source

Ultrahigh‐Linear Bio‐Inspired Janus Elastomeric Strain Sensor with High Sensitivity and Stretchability via Surface Wrinkle Engineering

Advanced Science, EarlyView.
A bio‐inspired Micro‐wrinkled Janus elastomeric flexible strain sensor mimicking wrinkled‐leaf viburnum is developed. Endowed with a synergistic sensing mechanism including wrinkle‐guided microcracks, modulus‐gradient‐driven strain division, and a parallel conductive circuit, it achieves ultra‐high linearity, sensitivity, wide strain range, and ...
Jing Lin, Ye Li, Simi Yu, Xing Cheng, Longxin Qian, Yufei Chen, Womin Li, Zhipeng Yang, Yinlei Lin, Dechao Hu, Jianyi Luo, Lan Liu   +11 more
wiley   +1 more source

Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization

AIChE Journal, EarlyView.
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed, Tao Chen, Antonio del Rio Chanona, Lorenz T. Biegler, Michael Short   +4 more
wiley   +1 more source

Multiplicity of Quasilinear Schrödinger Equation

Journal of Function Spaces, 2020
In this paper, we study the quasilinear Schrödinger equation involving concave and convex nonlinearities. When the pair of parameters belongs to a certain subset of ℝ2, we establish the existence of a nontrivial mountain pass-type solution and infinitely
Xiaorong Luo, Anmin Mao, Xiangxiang Wang
doaj   +1 more source

Positive solutions for a class of generalized quasilinear Schrödinger equation involving concave and convex nonlinearities in Orilicz space

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we study the following generalized quasilinear Schrödinger equation \begin{equation*} -\text{div}(g^2(u)\nabla u)+g(u)g'(u)|\nabla u|^2+V(x)u=\lambda f(x,u)+h(x,u),\qquad x\in\mathbb{R}^N, \end{equation*} where $\lambda>0$, $N\geq3$, $g\in\
Yan Meng, Xianjiu Huang, Jianhua Chen
doaj   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source