Results 101 to 110 of about 8,945 (319)
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
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Borderline estimates for fully nonlinear elliptic equations
, 2014 We prove new borderline regularity results for solutions to fully nonlinear elliptic equations together with pointwise gradient potential ...
Giuseppe Mingione +5 more
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Electronic Journal of Differential Equations, 2000 solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
doaj
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Liquid hydrogen, a zero‐carbon and high–energy‐density fuel, is a promising option for future oceangoing vessels. During maritime transportation, onboard cryogenic tanks are exposed to ambient heat leakage and ship‐induced roll motion, which can trigger sloshing and fundamentally modify the coupled thermo‐fluid processes governing boil‐off and
Yan Deng +5 more
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Nanoscale Thermal Transport in Bi2(Te, Se)3 Thermoelectric Material Using Pulsed STEM
Advanced Physics Research, EarlyView.The pulsed‐STEM technique enables simultaneous acquisition of crystallographic, compositional, and thermal transport information within a single experiment. In anisotropic Bi2(Te, Se)3, phase‐delay imaging visualizes directional heat flow and interfacial resistance at the nanoscale, offering a new approach to understanding and designing thermoelectric ...
Hyunyong Cho +5 more
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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
Guiding and Manipulating Light Fields in Microstructured Liquid Crystals
Advanced Physics Research, EarlyView.This review summarizes recent advances in guided‐wave optics enabled by microstructured liquid crystal (LC) devices, covering their fundamental material properties, key degree of freedom for dynamic light field manipulations. The advances of linear guided‐wave optics, nonlinear‐optics with spatial optical solitons, and microlasers in LC‐based devices ...
Shan‐shan Chang +2 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
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Autism Research, EarlyView.ABSTRACT Variants in the CNTNAP2 gene, encoding the cell adhesion molecule CASPR2, have been identified as genetic risk factors for autism spectrum disorder (ASD). However, the mechanisms through which CNTNAP2 dysfunction alters circuit function remain unknown.
Krisztina Sáfár +10 more
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Projection schemes for stochastic partial differential equations
, 2009 The focus of the present work is to develop stochastic reduced basis methods (SRBMs) for solving partial differential equations (PDEs) defined on random domains and nonlinear stochastic PDEs (SPDEs).
Prerapa, Surya Mohan
core