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Degree formulas for maps with nonintegrable Jacobian

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Publication:1918509
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DOI10.12775/TMNA.1995.033zbMath0854.58005MaRDI QIDQ1918509

Tadeusz Iwaniec, Carlo Sbordone, Luigi Greco, Bianca Stroffolini

Publication date: 22 January 1997

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)


zbMATH Keywords

Jacobianmapping degreeHodge theory


Mathematics Subject Classification ID

Degree, winding number (55M25) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Exterior differential systems (Cartan theory) (58A15) Implicit function theorems, Jacobians, transformations with several variables (26B10)


Related Items (9)

Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu) ⋮ Inverting the \(p\)-harmonic operator ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Nonlinear commutators and Jacobians ⋮ Relaxation of nonlinear elastic energies related to Orlicz-Sobolev nematic elastomers ⋮ Unnamed Item ⋮ Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion ⋮ Sobolev mappings, degree, homotopy classes and rational homology spheres ⋮ Unnamed Item




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