A characterization of first order nonlinear partial differential operators on Sobolev spaces

DOI10.1016/0022-1236(80)90059-2zbMath0444.47048OpenAlexW2039658782MaRDI QIDQ1144785

Victor J. Mizel, Morel M. Marcus

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90059-2

zbMATH Keywords

nonlinear partial differential operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear first-order PDEs (35F20) Nonlinear operators and their properties (47H99)

Related Items (5)

On products of Sobolev-Orlicz spaces ⋮ Semilinear hereditary hyperbolic systems with nonlocal boundary conditions. I ⋮ Semilinear hereditary hyperbolic systems with nonlocal boundary conditions. II ⋮ Derivation of variational principles for rigid-plastic solids obeying non-associated flow laws. I. Further development of the nonlinear method of adding the adjoint operator, prescribed jumps ⋮ A continuity theorem for operators from \(W^{1,q}(\Omega)\) into \(L^ r(\Omega)\)

Cites Work

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• Une caractérisation abstraite des opérateurs différentiels.
• Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
• Orlicz and Sobolev spaces on unbounded domains
• Representation Theorems for Nonlinear Disjointly Additive Functionals and Operators on Sobolev Spaces

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