Nonlinear analysis and quasiconformal mappings from the perspective of PDEs

Volume 48 / 1999

Tadeusz Iwaniec Banach Center Publications 48 (1999), 119-140 DOI: 10.4064/-48-1-119-140

Abstract

Contents Introduction 119 1. Quasiregular mappings 120 2. The Beltrami equation 121 3. The Beltrami-Dirac equation 122 4. A quest for compactness 124 5. Sharp $L^p$-estimates versus variational integrals 125 6. Very weak solutions 128 7. Nonlinear commutators 129 8. Jacobians and wedge products 131 9. Degree formulas 134 References 136

Authors

  • Tadeusz Iwaniec

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