Some refinements of the Hodge decomposition and applications

DOI10.1016/S0893-9659(00)00115-4zbMath0983.35045OpenAlexW2054861011MaRDI QIDQ5938882

Adele Ferone, Jean Michel Rakotoson, M. A. Jalal, Roberta Volpicelli

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00115-4

zbMATH Keywords

Hodge decompositionLeray-Lions type equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05) Hodge theory in global analysis (58A14)

Related Items (1)

Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data

Cites Work

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• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Trace imbeddings for \(T\)-sets and application to Neumann-Dirichlet problems with measures included in the boundary data
• Inverting the \(p\)-harmonic operator
• Local T-sets and renormalized solutions of degenerate quasilinear elliptic equations with an \(L^ 1\)-datum
• \(p\)-harmonic tensors and quasiregular mappings
• Weak minima of variational integrals.
• Equivalence of formulations and uniqueness in a \(T\)-set for quasilinear equations with measures as data

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