Weak solutions for some quasilinear elliptic equations by the sub-supersolution method (Q1585007)
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scientific article; zbMATH DE number 1526171
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak solutions for some quasilinear elliptic equations by the sub-supersolution method |
scientific article; zbMATH DE number 1526171 |
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Weak solutions for some quasilinear elliptic equations by the sub-supersolution method (English)
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4 March 2001
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The solvability of quasi-linear elliptic boundary value problems is studied. It is proved that if a sub-supersolution couple exists then the equation possesses at least one weak solution. The proof applies Leray-Schauder's fixed point theorem.
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quasilinear elliptic equation
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sub-supersolutions
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Leray-Schauder theorem
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Gagliardo-Nirenberg inequalities
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0.9504666
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0.9396762
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0.9249675
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0.92154145
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