scholarly journals From Strong to Very Weak Solutions to the Stokes System with Navier Boundary Conditions in the Half-Space

2009 ◽  
Vol 41 (5) ◽  
pp. 1792-1815 ◽  
Author(s):  
Chérif Amrouche ◽  
Šárka Nečasová ◽  
Yves Raudin
Keyword(s):  
Boundary Conditions ◽  
Half Space ◽  
Weak Solutions ◽  
Stokes System ◽  
Very Weak Solutions ◽  
Navier Boundary Conditions

WEAK SOLUTIONS OF QUASILINEAR BIHARMONIC PROBLEMS WITH POSITIVE, INCREASING AND CONVEX NONLINEARITIES

2008 ◽  
Vol 06 (03) ◽  
pp. 213-227 ◽  
Author(s):  
I. ABID ◽  
M. JLELI ◽  
N. TRABELSI
Keyword(s):  
Elliptic Equation ◽  
Boundary Conditions ◽  
Fourth Order ◽  
Weak Solutions ◽  
Source Term ◽  
Semilinear Elliptic Equation ◽  
Laplacian Operator ◽  
Navier Boundary Conditions ◽  
Semilinear Elliptic ◽  
Biharmonic Problems

We study the existence of positive weak solutions to a fourth-order semilinear elliptic equation with Navier boundary conditions and a positive, increasing and convex source term. We also prove the uniqueness of extremal solutions. In particular, we generalize results of Mironescu and Rădulescu for the bi-Laplacian operator.

scholarly journals Weak solutions to the barotropic Navier–Stokes system with slip boundary conditions in time dependent domains

2013 ◽  
Vol 254 (1) ◽  
pp. 125-140 ◽  
Author(s):  
Eduard Feireisl ◽  
Ondřej Kreml ◽  
Šárka Nečasová ◽  
Jiří Neustupa ◽  
Jan Stebel
Keyword(s):  
Boundary Conditions ◽  
Weak Solutions ◽  
Stokes System ◽  
Time Dependent ◽  
Navier Stokes ◽  
Slip Boundary Conditions ◽  
Slip Boundary

Weak Solutions of the Problem ∆2u = un/n-4 with Prescribed Singular Sets

2008 ◽  
Vol 8 (4) ◽  
Author(s):  
Yomna Rébaï
Keyword(s):  
Boundary Conditions ◽  
Bounded Domain ◽  
Weak Solutions ◽  
Biharmonic Equation ◽  
Navier Boundary Conditions ◽  
Singular Sets

AbstractIn this paper, we are interested in the following biharmonic equation:with Navier boundary conditions on ∂Ω; where Ω is an open bounded domain of ℝ

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