Strongly non-linear elliptic problems in Musielak spaces with \(L^1\) data (Q2821086)
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scientific article; zbMATH DE number 6628026
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly non-linear elliptic problems in Musielak spaces with \(L^1\) data |
scientific article; zbMATH DE number 6628026 |
Statements
16 September 2016
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Musielak-Orlicz spaces
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strongly non-linear problems in \(L^1\)
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Dirichlet problem
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truncation
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0.94624305
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0.9418216
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0.9349222
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Strongly non-linear elliptic problems in Musielak spaces with \(L^1\) data (English)
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The authors consider the non-linear Dirichlet problem NEWLINE\[NEWLINE -\operatorname{div} a(x,u,\nabla u) +g(x,u,\nabla u)= f NEWLINE\]NEWLINE where \(g\) satisfies sign condition and the natural growth condition with \(L^1\) data. It is studied existence of solutions in the Musielak-Orlicz spaces and it is given a proof of a Poincaré inequality in these spaces.
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