Results 201 to 210 of about 103,453 (242)

Nonlinear equations and elliptic curves

Journal of Soviet Mathematics, 1985
This paper deals with the algebro-geometric or finite zone solution of noninear equations which can be written as zero curvature equation \(U_ t-V_ x+[U,V]=0\), where U(x,t,\(\lambda)\) and V(x,t,\(\lambda)\) are two matrices and the parameter \(\lambda\) is defined on elliptic curves. The author presents the main idea of global finite-zone integration
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Nonlinear elliptic equations for measures

Doklady Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fully Nonlinear Elliptic Equations on General Domains

Canadian Journal of Mathematics, 2002
AbstractBy means of the Pucci operator, we construct a function u0, which plays an essential role in our considerations, and give the existence and regularity theorems for the bounded viscosity solutions of the generalized Dirichlet problems of second order fully nonlinear elliptic equations on the general bounded domains, which may be irregular.
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Nonnegative Solutions for Weakly Nonlinear Elliptic Equations

Canadian Journal of Mathematics, 1984
Let x = (x1, … xn) denote a point of Euclidean n space En and set Di = ∂/∂xi for i = 1, … n. Let Ω denote an exterior domain in En with smooth boundary and consider in Ω the formal elliptic problem:1We first consider the problem of finding nonnegative generalized solutions of (1) when τ ≧ 0, τ ≢ 0, and r(x) ≡ 0.
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Nonlinear Elliptic Partial Differential Equations

2017
In Chap. 5, we explained how to apply the finite element method to nonlinear ordinary differential equations. We saw that calculating the finite element solution of nonlinear differential equations required us to solve a nonlinear system of algebraic equations and discussed how these algebraic equations could be solved.
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Colloidal Self-Assembly Approaches to Smart Nanostructured Materials

Chemical Reviews, 2022
Zhiwei Li Li, Yadong Yin
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker, Nwamaka D Eneanya, Josef Coresh   +2 more
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Nonlinear Elliptic Equations with Nonlinear Boundary Conditions

1976
Publisher Summary This chapter focuses on nonlinear elliptic equations with nonlinear boundary conditions, and discusses mildly nonlinear elliptic boundary value problems (BVPs). For the study of the stability of the solutions of the parabolic initial-boundary value problem, one has to have a good knowledge of the steady states, that is, of the ...
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Physics-informed machine learning

Nature Reviews Physics, 2021
George E Karniadakis, Ioannis G Kevrekidis, Lu Lu   +2 more
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Benchmarking the performance of all-solid-state lithium batteries

Nature Energy, 2020
Dominik A Weber, Raimund Koerver, André Weber   +2 more
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