Results 291 to 300 of about 5,663,167 (335)

A MINIMIZATION PROBLEM ON EXTERIOR DOMAIN

Acta Mathematica Scientia, 1992
The authors consider the following minimization problem on an exterior domain in \(\mathbb{R}^ N\) \[ \min\left\{\int_{\mathbb{R}^ N\backslash\overline\Omega}(|\nabla u|^ 2+| u|^ 2)dx;\;\| u+\varphi\|_{L^ q(\mathbb{R}^ N\backslash\overline\Omega)}=\gamma,\quad u\in W_ 0^{1,2}(\mathbb{R}^ N\backslash\overline\Omega)\right\}, \] where \(\Omega\) is a ...
Yan, Shusen, Zhang, Zhengjie
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Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain

Science China Mathematics, 2018
In this paper, we consider the following semilinear elliptic equation: {−Δu=h(x,u)inΩ,u⩾0on∂Ω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
Hu-Yuan Chen, Rui Peng, Feng Zhou
semanticscholar   +1 more source

Global existence of solutions to semilinear damped wave equation with slowly decaying initial data in exterior domain

Differential and Integral Equations, 2018
In this paper, we discuss the global existence of weak solutions to the semilinear damped wave equation \begin{equation*} \begin{cases} \partial_t^2u-\Delta u + \partial_tu = f(u) & \text{in}\ \Omega\times (0,T), \\ u=0 & \text{on}\ \partial\Omega\times (
M. Sobajima
semanticscholar   +1 more source

The Dirichlet-to-Neumann Operator on Exterior Domains

Potential Analysis, 2015
The authors investigate two versions of the Dirichlet-to-Neumann operator (\(A^D\) and \(A\)) on a connected exterior domain \(\Omega\subset \mathbb{R}^d\) with \(d\geq 3\), with Dirichlet or Neumann boundary conditions at infinity. The domain \(\Omega\) is of the form \(\Omega=\mathbb{R}^d\setminus \overline{\Omega}_0\), where \(\Omega_0\) is a ...
W. Arendt, A. F. M. ter Elst
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A Neumann problem in exterior domain

manuscripta mathematica, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Daomin, Lucia, Marcello, Zhou, Huan-Song   +2 more
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Navier–Stokes equations on exterior domains: review for the stability for the incompressible flow on exterior domains

ANNALI DELL'UNIVERSITA' DI FERRARA, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elliptic systems in exterior domains

ANNALI DELL UNIVERSITA DI FERRARA, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
STARITA, Giulio, BENOUAR N.
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On a Helmholtz Style Decomposition for an Exterior Domain

SIAM Journal on Mathematical Analysis, 2014
In this paper we prove a variant of the usual Helmholtz decomposition for an exterior domain $\Omega$. The main difference is that in the decomposition $h=\nabla f+v$ for $h\in L^p(\Omega)$, with $\nabla f,v\in L^p(\Omega)^n$, div$v=0$, we assume that $f$, not $v$, vanishes on the boundary of the domain.
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Navier- Stokes approximations in exterior domains

Nonlinear Analysis: Theory, Methods & Applications, 1997
This paper considers the initial-boundary value problem, in an exterior domain, for the nonstationary Navier-Stokes equations, in the case of an incompressible fluid. The solution is approximated by Rothe's method, that is by a first order semidiscrete approximation scheme.
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Antimaximum principle in exterior domains

Nonlinear Analysis, 2016
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Anoop, T. V., Drábek, P., Sankar, Lakshmi, Sasi, Sarath   +3 more
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