TY  - GEN
T1  - Estimates for the deviation from exact solutions of variational problems with power growth functionals
A1  - Bildhauer,Michael
A1  - Repin,Sergey
Y1  - 2012/02/15
N2  - We study the nonlinear power growth variational problem
J_{\alpha}[w]:=\int_{\Omega}\left[\frac{1}{\alpha}\left|\nabla w\right|^{\alpha}-fw\right]dx\rightarrow\textrm{min} 
and establish directly computable estimates for the deviation from exact solutions. In the case of superquadratic growth, these estimates are given in terms of the energy norm, in the subquadratic case we pass to estimates for the solution of the dual variational problem. Various boundary conditions are included in our considerations.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2012/4617
ER  -