scholarly journals Interior Regularity for Free and Constrained Local Minimizers of Variational Integrals Under General Growth and Ellipticity Conditions

2004 ◽  
Vol 123 (6) ◽  
pp. 4565-4576
Author(s):  
M. Bildhauer ◽  
M. Fuchs
Keyword(s):  
Local Minimizers ◽  
General Growth ◽  
Interior Regularity ◽  
Variational Integrals

scholarly journals A new proof of semicontinuity by Young measures and an approximation theorem in Orlicz-Sobolev spaces

2003 ◽  
Vol 2003 (15) ◽  
pp. 881-898
Author(s):  
Barbara Bianconi
Keyword(s):  
Sobolev Spaces ◽  
Lower Semicontinuity ◽  
Approximation Theorem ◽  
Growth Conditions ◽  
Young Measures ◽  
New Approach ◽  
General Growth ◽  
Variational Integrals

We give a new approach to study the lower semicontinuity properties of nonautonomous variational integrals whose energy densities satisfy general growth conditions. We apply the theory of Young measures and properties of Orlicz-Sobolev spaces to prove semicontinuity result.

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