Existence of solutions to some elliptic system in Sobolev spaces with the weight as a power of the distance from some axis
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elliptic boundary value problem, bounded domain, existence, weighted Sobolev spacesAbstrakt
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.Pobrania
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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 marzec 2002, T. 19, nr 1, s. 91–108. [udostępniono 22.7.2024].
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