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Strongly anisotropic elliptic problems with regular and \(L^1\) data - MaRDI portal

Strongly anisotropic elliptic problems with regular and \(L^1\) data (Q2634623)

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Strongly anisotropic elliptic problems with regular and \(L^1\) data
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    Strongly anisotropic elliptic problems with regular and \(L^1\) data (English)
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    17 February 2016
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    Summary: In this paper, we obtain the existence of weak solutions to a class of strongly anisotropic nonlinear elliptic boundary-value problems with nonlinear lower-order term with natural growth in an appropriate anisotropic function space. We investigate the cases where the right hand side term is regular or to be in \(L^1\). A uniqueness result is also given in a particular case.
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    anisotropic Sobolev spaces
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    strongly problems
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    anisotropic nonlinear elliptic operators
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    regular and \(L^1\) data
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    existence
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    uniqueness
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