Some remarks on variational problems for functionals with \(L\text{ln}L\) growth

DOI10.1007/BF02399943zbMath0907.49019MaRDI QIDQ677192

Gregory A. Seregin

Publication date: 23 September 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68449

zbMATH Keywords

regularityminimizershigher integrabilityfunctionals with \(L\ln L\) growth

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Regularity of solutions in optimal control (49N60) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Cites Work

• Analytical foundations of the theory of quasiconformal mappings in R^n
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