Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\) (Q5960865)
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scientific article; zbMATH DE number 1730539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\) |
scientific article; zbMATH DE number 1730539 |
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Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\) (English)
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8 August 2002
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Semilinear elliptic equation
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positive solutions
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concentration-compactness principle
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variational methods
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fold points
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0.96834147
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0.96031356
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0.95747644
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0.9556886
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The authors study existence of positive solutions to the equation NEWLINE\[NEWLINE -\Delta u+u=g(x,u)+f(x)\quad \text{in} {\mathbb R}^N,\qquad u>0\quad \text{in} {\mathbb R}^N,\qquad u\in H^1({\mathbb R}^N) NEWLINE\]NEWLINE where \(g\in C({\mathbb R}^N\times {\mathbb R})\) satisfies \(g(x,0)\equiv 0\) and is of superlinear growth.
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