Results 71 to 80 of about 366,215 (335)
Nonlinear Partial Differential Equations of Elliptic Type [PDF]
arXiv, 2005 Course Notes on Nonlinear Partial Differential Equations of Elliptic Type given to Master students at the University of Craiova, Romania.
arxiv
Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders [PDF]
arXiv, 2020 We establish quantitative asymptotic behavior of positive solutions of a family of nonlinear elliptic equations on the half cylinder near the end. This unifies the study of isolated singularities of some semilinear elliptic equations, such as the Yamabe equation, Hardy-H\'enon equation etc.
arxiv
Interior regularity for strong solutions to a class of fully nonlinear elliptic equations [PDF]
arXiv, 2022 We obtain local pointwise second derivative estimates for $W^{2,p}$-strong solutions to a class of fully nonlinear elliptic equations on Euclidean domains, motivated by problems in conformal geometry.
arxiv
Advanced Science, EarlyView.This study, for the first time, highlights the marvelous effect of mechanical vibration on the performance of lithium metal batteries. The authors demonstrate that vibration enhances the performance of lithium metal anodes through a synergistic effect: surface flattening at the macroscale and the formation of an interfacial layer that facilitates fast ...
Taeksoo Jung +6 more
wiley +1 more source
On semilinear elliptic equations with global coupling [PDF]
arXiv, 2008 We consider nonlinear elliptic equations which contains global coupling as a nonlinear term. We classify the existence of all possible positive solutions to this problem.
arxiv
C^{1,α}-regularity for a class of degenerate/singular fully nonlinear elliptic equations [PDF]
arXiv, 2022 We establish an optimal C^{1,\alpha}-regularity for viscosity solutions of degenerate/singular fully nonlinear elliptic equations by finding minimal regularity requirements on the associated operator.
arxiv
Aromaticity‐Dependent Memristive Switching
Advanced Electronic Materials, EarlyView.The article describes a resistive switching mechanism based on the creation of virtual filaments. Research consists of experimental and theoretical data supporting the theory that resistance of the memristor can be modulated by a redox‐induced aromaticity change of a working material.
Ewelina Cechosz +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2002 Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
doaj
Some remarks on singular solutions of nonlinear elliptic equations. I [PDF]
arXiv, 2009 The paper concerns singular solutions of nonlinear elliptic equations.
arxiv
pointwise boundary $\bm{{C}^{1,α}}$ Estimates for some degenerate fully nonlinear elliptic equations on $\bm{C^{1,α}}$ Domains [PDF]
arXiv, 2023 In this paper, we establish pointwise boundary ${{C}^{1,\alpha}}$ estimates for viscosity solutions of some degenerate fully nonlinear elliptic equations on ${C^{1,\alpha}}$ domains. Instead of straightening out the boundary, we utilize the perturbation and compactness techniques.
arxiv