# American Institute of Mathematical Sciences

October  2005, 13(5): 1097-1124. doi: 10.3934/dcds.2005.13.1097

## Topology of Sobolev mappings IV

 1 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States 2 Department of Mathematics, New York University, 251 Mercer St. New York, NY 10012, United States

Received  September 2004 Revised  February 2005 Published  September 2005

We will classify the path connected components of spaces of Sobolev maps between manifolds and study the strong and weak density of smooth maps in the spaces of Sobolev maps for the case the domain manifold has nonempty boundary and Dirichlet problems.
Citation: Fengbo Hang, Fanghua Lin. Topology of Sobolev mappings IV. Discrete & Continuous Dynamical Systems, 2005, 13 (5) : 1097-1124. doi: 10.3934/dcds.2005.13.1097
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