Multiplicity of positive solutions for a critical quasilinear elliptic system with concave and convex nonlinearities (Q451016)
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scientific article; zbMATH DE number 6086937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of positive solutions for a critical quasilinear elliptic system with concave and convex nonlinearities |
scientific article; zbMATH DE number 6086937 |
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Multiplicity of positive solutions for a critical quasilinear elliptic system with concave and convex nonlinearities (English)
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26 September 2012
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The paper presents a result ensuring the existence of multiple positive solutions for a quasilinear elliptic system depending on positive parameters provided the parameters are sufficiently small. Nonlinearities of concave-convex type and with critical growth are permitted. The approach is based on the Ljusternik-Schnirelman category.
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\(p\)-Laplacian system
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Sobolev critical exponents
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contractible sets
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homotopy
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deformation
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multiple positive solutions
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quasilinear elliptic system
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