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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations - MaRDI portal

On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations (Q885598)

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scientific article; zbMATH DE number 5164262
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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
scientific article; zbMATH DE number 5164262

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    On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations (English)
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    14 June 2007
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    Summary: Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class of quasilinear elliptic equations in \(\mathbb R^{N}\) with the Schauder-Tikhonov fixed point theorem as the principal tool. In many articles, the theorems of existence and multiple of positive entire solutions for a class of semilinear elliptic equations are established. The results of the semilinear equations are extended to the quasilinear ones and the results of semilinear equations are developed.
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    quasilinear elliptic equations
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    positive solutions
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    existence
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    Shauder-Tikhonov
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    fixed point theorem
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