Results 81 to 90 of about 581,251 (325)

Maximum principles for viscosity solutions of weakly elliptic equations

Bruno Pini Mathematical Analysis Seminar, 2019
Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
doaj   +1 more source

Multiscale Finite Element Methods for Nonlinear Problems and their Applications [PDF]

, 2004
In this paper we propose a generalization of multiscale finite element methods (Ms-FEM) to nonlinear problems. We study the convergence of the proposed method for nonlinear elliptic equations and propose an oversampling technique.
Efendiev, Y., Ginting, V., Hou, T. Y.
core  

High‐Throughput Screening and Interpretable Machine Learning for Rational Design of Bimetallic Catalysts for Methane Activation

Advanced Science, EarlyView.
ABSTRACT Methane's efficient catalytic removal is vital for sustainable development. Bimetallic catalysts, though promising for methane activation, pose a design challenge due to their complex compositional space. This work introduces an integrated framework that combines high‐throughput density functional theory (DFT) and interpretable machine ...
Mingzhang Pan, Tian Zhang, Jiawei Dong, Yubao Xie, Kaifeng Zhong, Wei Guan, Haiqiao Wei, Changcheng Fu, Yaqiong Su   +8 more
wiley   +1 more source

Nonlinear Differential Equations Satisfied by Certain Classical Modular Forms

, 2010
A unified treatment is given of low-weight modular forms on \Gamma_0(N), N=2,3,4, that have Eisenstein series representations. For each N, certain weight-1 forms are shown to satisfy a coupled system of nonlinear differential equations, which yields a ...
A. Enneper, B. Pol van der, B. Schoeneberg, B.C. Berndt, B.C. Berndt, B.C. Berndt, C.G.J. Jacobi, F. Diamond, F. Tricomi, F.J. Bureau, H. Hahn, H. Rademacher, H.L. Resnikoff, H.W. Leopoldt, J. Chazy, J. Harnad, J.M. Borwein, J.W.L. Glaisher, J.W.L. Glaisher, K. Ono, K. Takeuchi, K. Takeuchi, L. Ehrenpreis, L.R. Ford, M. Kaneko, M.J. Ablowitz, N. Heninger, N.J. Fine, P.A. Clarkson, P.F. Stiller, R.A. Rankin, R.A. Rankin, R.A. Rankin, R.S. Maier, Robert S. Maier, S. Chakravarty, S.C. Milne, V. Ramamani, W. Zudilin, Y. Martin, Y. Ohyama   +40 more
core   +1 more source

Multiscale Architecture and Mechanics of the Cell Nucleus: Implications for Disease, Bioengineering and Nanomedicine

Advanced Science, EarlyView.
Nuclear mechanical properties are inherently scale‐dependent, arising from a hierarchical architecture that spans DNA, chromatin, the nuclear envelope, and condensates. Experimental techniques and theoretical models are integrated into a cohesive multiscale framework linking nanoscale structural features to organelle‐level mechanical behavior.
Xinran Liu, Xin Chen, Qingyang Zhao, Weikang Tan, Lingrui Zhu, Kin Liao, Vincent Chan, Nicolae Goga, Winfred O. Larkotey, Yang Li, Yinghui Shi, Wenya Shu, Lin Wang, Weiqing Wang, Tian Jian Lu, Yulong Han   +15 more
wiley   +1 more source

Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations

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  

Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients

Advances in Mathematical Physics, 2021
In this paper, the dynamical properties and the classification of single traveling wave solutions of the coupled nonlinear Schrödinger equations with variable coefficients are investigated by utilizing the bifurcation theory and the complete ...
Zhao Li, Peng Li, Tianyong Han
doaj   +1 more source

Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations [PDF]

, 2013
In this paper we use the Generalized Multiscale Finite Element Method (GMsFEM) framework, introduced in [20], in order to solve nonlinear elliptic equations with high-contrast coefficients.
Y. Efendiev, J. Galvis, Guanglian Li, M. Presho   +3 more
semanticscholar   +1 more source

Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities [PDF]

Annales Henri Poincaré, 2011
From the abstract: ``We consider nonlinear elliptic Dirichlet problems with a singular term, a concave (i.e., \((p-1)\)-sublinear) term and a Carathéodory perturbation. We study the cases where the Carathéodory perturbation is \((p-1)\)-linear and \((p-1)\)-superlinear near \(+\infty\).
Gasiński, Leszek, Papageorgiou, Nikolaos S.   +1 more
openaire   +3 more sources

Liquid Metals in Radio Frequency Applications: A Review of Physics, Manufacturing, and Emerging Technologies

Advanced Electronic Materials, EarlyView.
This paper reviews the physics of liquid metals in RF devices, including the influence of mechanical strain on resonance as well as fabrication methods and strategies for designing tunable and strain‐tolerant inductors, capacitors, and antennas.
Md Saifur Rahman, William J. Scheideler
wiley   +1 more source