On bounded entire solutions of semilinear elliptic equations (Q760586)
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scientific article; zbMATH DE number 3884595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On bounded entire solutions of semilinear elliptic equations |
scientific article; zbMATH DE number 3884595 |
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On bounded entire solutions of semilinear elliptic equations (English)
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1984
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The author gives a result on the existence of infinitely many bounded entire solutions of the nonlinear problems \(-\Delta u+g(x)u^{\gamma}=0,\) \(-\Delta u+g(x)e^ u=0.\) Conditions assuring positivity are also given.
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second order semilinear elliptic equations
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supersolutions
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subsolutions
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existence
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bounded entire solutions
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