Variational integrals on Orlicz-Sobolev spaces
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Publication:1393102
DOI10.4171/ZAA/829zbMath0913.49023OpenAlexW1969337561MaRDI QIDQ1393102
Viktor G. Osmolovskii, Fuchs, Martin
Publication date: 30 September 1998
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/829
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Regularity of solutions in optimal control (49N60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Regularity for elliptic equations with general growth conditions
- Remarks on the regularity of the minimizers of certain degenerate functionals
- Convex functionals and partial regularity
- Two dimensional variational problems with thin obstacles
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
