Displaying similar documents to “Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions.”

Green's theorem from the viewpoint of applications

Alexander Ženíšek (1999)

Applications of Mathematics

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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 ( ) H 1 , p ( ) ( 1 p < ) .