Limits of Sobolev homeomorphisms

作者：Iwaniec Tadeusz^*; Onninen Jani

来源：Journal of the European Mathematical Society, 2017, 19(2): 473-505.

DOI：10.4171/JEMS/671

• Energy-minimal deformations
• approximation of Sobolev homeomorphisms
• variational integrals
• harmonic mappings
• p-harmonic equation

Let X; Y subset of R-2 be topologically equivalent bounded Lipschitz domains. We prove that weak and strong limits of homeomorphisms h: X (onto)-> Y in the Sobolev space W-1,W-p (X, R-2), p >= 2; are the same. As an application, we establish the existence of 2D-traction free minimal deformations for fairly general energy integrals.

• 出版日期2017