Results 21 to 30 of about 20,803 (266)
, 2022 This article focuses on the history of the formation of seasonal trade caravan routes passing through the southern regions of Central Asia to bring closer the interstate relations of our history in the middle ages.
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Nontrivial Solutions for Asymmetric Kirchhoff Type Problems
Abstract and Applied Analysis, 2014 We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at +∞ and −∞ in ℝN(N=2,3). Namely, it is 4-linear at −∞ and 4-superlinear at +∞.
Ruichang Pei, Jihui Zhang
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Mountain pass solutions for nonlocal equations
Annales Academiae Scientiarum Fennicae Mathematica, 2014 In this paper, the authors study the following nonlocal Dirichlet problem: \[ \left\{\begin{aligned} &\left[M\Big(\int_{\Omega} |\nabla u(x)|^p\,dx\Big)\right]^{p-1}\Delta_pu = f(x,u) \quad \text{in } \Omega, \\ &u|_{\partial\Omega} =0, \end{aligned}\right.
Molica Bisci G, Radulescu V
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Advanced Functional Materials, EarlyView.The dielectric properties of clays are studied on the level of individual monolayers and functional double stacks. The material breakdown characteristics and charge storage performance are analyzed. For illustration, a defined charge pattern representing a cuneiform character is produced, written into a microscopic clay tile, referencing the origins of
Sebastian Gödrich +6 more
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A Mountain Pass for Reacting Molecules [PDF]
Annales Henri Poincaré, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Advanced Materials Technologies, EarlyView.Combined approach of electromagnetic (Power) and ultrasound (data harvesting) waves is proposed to address the miniaturized ultrasonic implants. Electromagnetic waves trigger the piezoelectric element to generate the acoustic pulse which is modulated by the variations in the sensor's impedance.
Anam Bhatti +6 more
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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
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Genetic Diagnosis and Discovery Enabled by Large Language Models
Advanced Science, EarlyView.We demonstrate that large language models (LLMs) can facilitate genetic diagnosis and discovery. LLMs were used to solve four types of genetic problems of sequentially increased complexity. An LLM‐based pipeline could analyze genetic variants in the genomic sequences of human hearing loss or rare genetic disease patients and assist in identifying ...
Tao Tu +25 more
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