On \(\Gamma\)-compactness of a sequence of integral functionals whose values do not depend on gradients of functions (Q2879985)
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scientific article; zbMATH DE number 6022830
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\Gamma\)-compactness of a sequence of integral functionals whose values do not depend on gradients of functions |
scientific article; zbMATH DE number 6022830 |
Statements
10 April 2012
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integral functionals
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degeneration, \(\Gamma\)-convergence
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\(\Gamma\)-compactness
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On \(\Gamma\)-compactness of a sequence of integral functionals whose values do not depend on gradients of functions (English)
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Let \(\Omega\) be a bounded domain in \(\mathbb R^n\) and \(\{ \Omega_s \}\) a sequence of domains \(\Omega\). The author establishes the theorem on \(\Gamma\)-compactness of the sequence of integral functionals \(G_s(u)=\int_{\Omega_s }g(x,u)dx\) in variable weighted Sobolev spaces.
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0.8613473773002625
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0.8538758158683777
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0.8180556297302246
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0.8109902143478394
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