Orlicz-Sobolev spaces and imbedding theorems
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Publication:2545971
DOI10.1016/0022-1236(71)90018-8zbMath0216.15702OpenAlexW1981587125MaRDI QIDQ2545971
Neil S. Trudinger, Thomas Donaldson
Publication date: 1971
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(71)90018-8
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- A delayed-recruitment model of population dynamics, with an application to baleen whale populations
- Isolated singularities of solutions of quasi-linear equations
- Über Produkte von Orlicz-Räumen
- Nonlinear elliptic boundary-value problems in Orlicz-Sobolev spaces
- Weak solutions of hessian equations
- Fractional Integration in Orlicz Spaces. I
- H = W
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