Normal and compact solvability of the exterior derivation operator in Orlicz spaces

DOI10.1007/S10958-023-06727-0OpenAlexW4387877543MaRDI QIDQ6150305

Yaroslav Kopylov

Publication date: 6 February 2024

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

Full work available at URL: https://doi.org/10.1007/s10958-023-06727-0

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Operator theory (47-XX) Linear function spaces and their duals (46Exx) Partial differential equations on manifolds; differential operators (58Jxx)

Cites Work

• Normal and compact solvability of linear operators
• Normal and compact solvability of the exterior differentiation operator under homogeneous boundary conditions
• On normal solvability of the operator of exterior derivation on a surface of revolution
• On compact solvability of the exterior derivation for~\(G\)-invariant boundary conditions
• Integral estimates for null Lagrangians
• On normal solvability of the operator of exterior derivation of warped products
• On compact solvability of the operator of exterior derivation
• On normal solvability of the exterior differentiation on a warped cylinder
• On the Orlicz cohomology of star-bounded simplicial complexes
• Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities
• De Rham regularization operators in Orlicz spaces of differential forms on Riemannian manifolds
• \(L_{p, q}\)-cohomology and normal solvability
• ORLICZ SPACES OF DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS: DUALITY AND COHOMOLOGY
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