Results 41 to 50 of about 485,328 (331)
Schrödinger-Poisson system without growth and the Ambrosetti-Rabinowitz conditions
AIMS Mathematics, 2020 We consider the following Schrödinger-Poisson system $$\left\{ \begin{array}{l}{\rm{ - }}\Delta u + V\left(x \right)u + \phi u = \lambda f\left(u \right)\; \; \; \; \; {\rm{in}}\; {\mathbb{R}^3}, \\ - \Delta \phi = {u^2}, \mathop {\lim }\limits_{|x| \to +
Chen Huang, Gao Jia
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The Mountain Pass Rare-Earth Deposits [PDF]
, 1954 Rare-earth minerals were discovered near Mountain Pass in northeastern San Bernardino County, Calif., in April 1949, and in the following year the Sulphide Queen carbonate body was found.
Olson, J. C., Pray, L. C.
core
, 2017 Many existence and nonexistence results are known for nonnegative radial solutions $u\in D^{1,2}(\mathbb{R}^{N})\cap L^{2}(\mathbb{R}^{N},\left|x\right| ^{-\alpha }dx)$ to the equation \[ -\triangle u+\dfrac{A}{\left| x\right| ^{\alpha }}u=f\left( u ...
Rolando, Sergio
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Remorphable Architectures: Reprogramming Global Bistability through Locally Bistable Metamaterials
Advanced Materials, EarlyView.Local bistable reconfiguration in mechanical metamaterials is leveraged in globally bistable architectures to enable in situ reprogrammable transition pathways through state flip of individual building blocks. The local‐to‐global correspondence of instabilities empowers soft robotic systems with on‐demand morphing traits, as well as aerospace ...
Lei Wu +3 more
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Extensions of the mountain pass theorem
Journal of Functional Analysis, 1984 The paper contains a number of extensions of the mountain pass lemma of \textit{A. Ambrosetti} and \textit{P. H. Rabinowitz} [(*) ibid. 14, 349-381 (1973; Zbl 0273.49063)]. The lemma gives sufficient conditions for the existence of critical points of continuously Fréchet differentiable functionals \(I: X\to {\mathbb{R}}\) on a real Banach space X.
PUCCI, Patrizia, J. SERRIN
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Journal of Function Spaces, 2015 This paper is concerned with the following nonlinear second-order nonautonomous problem: ü(t)+q(t)u̇(t)-∇K(t,u(t))+∇W(t,u(t))=0, where t∈R, u∈RN, and K, W∈C1(R×RN,R) are not periodic in t and q:R→R is a continuous function and Q(t)=∫0tq(s)ds with lim|t|
Qiongfen Zhang, Yuan Li
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Advanced Materials Technologies, EarlyView.This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane +4 more
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Reducing Personalization Time and Energy Cost While Walking Outdoors with a Portable Exosuit
Advanced Robotics Research, EarlyView.Rapid Real‐World Optimization! An AF‐based human‐in‐the‐loop optimization strategy rapidly personalizes a portable hip extension exosuit for incline walking. Real‐time Bayesian optimization of assistive force significantly reduces metabolic energy—up to 16.2%—while converging in just 3 min 24 s.
Kimoon Nam +7 more
wiley +1 more source
پژوهشهای ریاضی, 2022 We investigate the existence of a weak nontrivial solution for the following problem. Our analysis is generally bathed on discussions of variational based on the Mountain Pass theorem and some recent theories one the generalized Lebesgue-Sobolev space ...
Atieh Ramzannia Jalali +1 more
doaj
Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori
Mathematics in Engineering, 2023 In this paper we consider traveling waves for the Gross-Pitaevskii equation which are $ T $-periodic in each variable. We prove that if $ T $ is large enough, there exists a solution as a global minimizer of the corresponding action functional.
Francisco Javier Martínez Sánchez +1 more
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