Results 61 to 70 of about 511,067 (272)
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 +3 more
semanticscholar +1 more source
Regularity for nonlinear elliptic equations and systems
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We study the regularity of weak solutions to the elliptic system in divergence form divA(x, Du)=0 in an open set Ω of R^n, n≥2. The vector field A(x.ξ), A: Ω×R^(m×n)→R^(m×n), has a variational nature in the sense that A(x,ξ)= Dξ f(x,ξ), where f:Ω×R^(m×n)→R is a convex Carathéodory integrand; i.e., f=f (x,ξ) is measurable with respect to x∈R^n and it is
openaire +4 more sources
Mathematics, 2022 This article is the further work of previous papers and also the first study to adopt the elliptic integral approach to solve the forced nonlinear structural acoustic problem.
Yiu-Yin Lee
doaj +1 more source
On a class of fully nonlinear elliptic equations on Hermitian manifolds [PDF]
Calculus of Variations and Partial Differential Equations, 2013 We derive a prioriC2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^2$$
Bo Guan, Weiling Sun
semanticscholar +1 more source
Journal of Inequalities and Applications, 2006 Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications.
Takaŝi Kusano +2 more
doaj
Upper bounds for the eigenvalues of Hessian equations
, 2012 We prove some upper bounds for the Dirichlet eigenvalues of a class of fully nonlinear elliptic equations, namely the Hessian equationsComment: 15 pages, 1 ...
B Brandolini +20 more
core +1 more source
New Jacobi Elliptic Function Solutions for the Zakharov Equations
Journal of Applied Mathematics, 2012 A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations.
Yun-Mei Zhao
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Математичні Студії, 2023 Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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Removable Singularities of $m$-Hessian Equations
, 2016 In this paper we give a new, less restrictive condition for removability of singular sets, $E$, of smooth solutions to the m-Hessian equation (and also for more general fully nonlinear elliptic equations) in $\Omega \setminus E$, $\Omega \subset \mathbb ...
Car, Hülya, Pröpper, René
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Picone-type inequalities for nonlinear elliptic equations and their applications
Journal of Inequalities and Applications, 2001 Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano +2 more
doaj