Weak Limit of Homeomorphisms in W1,n-1: Invertibility and Lower Semicontinuity

Explore a mathematical lecture on the weak limit of homeomorphisms in W1,n-1, focusing on invertibility and lower semicontinuity. Delve into a joint work presented by Stanislav Hencl at the Workshop on "Between Regularity and Defects: Variational and Geometrical Methods in Materials Science" held at the Erwin Schrödinger International Institute for Mathematics and Physics. Over the course of 33 minutes, examine the problem, conditions, and solution, including insights from Conte and Dalalis. Follow the proof structure, learn about related papers, and understand calculus operations and counterexamples. Investigate the proof of positive statement, assumptions, semicontinuity, and conclude with open problems in this field of mathematics.