@article {Zenisek:February 1999:0862-7940:55, author = "Zenisek A.", title = "Greens theorem from the viewpoint of applications", journal = "Applications of Mathematics", volume = "44", year = "February 1999", abstract = "
Making use of a line integral defined without use of the partition of unity, Green's theorem is proved in the case of two-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces W^{1, p} (\Omega) \equiv H^{1,p} (\Omega) (1
p <
).