Existence of solutions to some elliptic system in Sobolev spaces with the weight as a power of the distance from some axis
Keywords
elliptic boundary value problem, bounded domain, existence, weighted Sobolev spacesAbstract
We examine some overdetermined elliptic system in a domain in $\mathbb R^3$ which contains an axis. Assuming that data functions belong to Sobolev spaces with weights equal to a power of the distance from the axis we prove existence of solutions in the corresponding kind of weighted Sobolev spaces.Downloads
Published
2002-03-01
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ZAJĄCZKOWSKI, Wojciech M. Existence of solutions to some elliptic system in Sobolev spaces with the weight as a power of the distance from some axis. Topological Methods in Nonlinear Analysis. Online. 1 March 2002. Vol. 19, no. 1, pp. 91 - 108. [Accessed 26 April 2024].
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