Results 311 to 320 of about 5,663,167 (335)

On the critical Neumann problem with weight in exterior domains

Nonlinear Analysis: Theory, Methods & Applications, 2003
Let \(\Omega\subset\mathbb R^n\) be a bounded domain with a smooth boundary \(\partial\Omega\) and set \(\Omega^c=\mathbb R^N\setminus \overline{\Omega}\). Here, the authors study the nonlinear Neumann problem \[ -\Delta u+\lambda u= Q(x)|u|^{2^*-2}u \quad\text{in }\Omega^c,\quad u>0, \qquad \frac{\partial u}{\partial\nu}=0 \quad\text{on }\partial ...
Chabrowski, J. H., Ruf, B.
openaire   +5 more sources

The properties of the solutions of the incompressible flows on an exterior domain

Applied Mathematics Letters, 2018
Abstract In this paper, we want to see the properties of the smooth solutions u of the incompressible flows on an exterior domain Ω of R 2 . Specially, when the vorticity ω = ∇ × u has a bounded support, with suitable conditions we will show that there exists a constant C ( p , q ) such that ∥ u ∥
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THE STOKES OPERATOR WITH ROTATION EFFECT IN EXTERIOR DOMAINS

Analysis, 1999
The paper is a step to the mathematical analysis of the Navier-Stokes flow past a rotating obstacle. Let \(K\subset \mathbb{R}^3\) be a compact, isolated and rigid obstacle with smooth boundary \(\Gamma\), \(\Omega=\mathbb{R}^3\setminus K\) the exterior domain occupied by a viscous imcompressible fluid.
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Strong Solutions for Ferrofluid Equations in Exterior Domains

Acta Applicandae Mathematicae, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier–Stokes equations

Mathematische Annalen, 2018
R. Farwig, H. Kozono, D. Wegmann
semanticscholar   +1 more source

An interpolation inequality in exterior domains

2004
The authors obtain analogues of the Gagliardo-Nirenberg interpolation inequality over exterior domains with compact boundary having the cone property.
CRISPO, Francesca, MAREMONTI, Paolo
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On the L p - L q decay estimate for the Stokes equations with free boundary conditions in an exterior domain

Asymptotic Analysis, 2018
Y. Shibata
semanticscholar   +1 more source

Decay rates of the hyperbolic equation in an exterior domain with half-linear and nonlinear boundary dissipations

Journal of Systems Science and Complexity, 2016
Yuxiang Liu, Jing Li, P. Yao
semanticscholar   +1 more source

Existence of positive solution for the Choquard equation in exterior domain

Complex Variables and Elliptic Equations, 2022
Yang Xiaolong
exaly  

A perturbed eigenvalue problem in exterior domain

Mathematica Slovaca, 2022
Andrei Grecu
exaly