Nonexistence of positive solutions for a system of semilinear fractional Laplacian problem. (Q1785671)

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scientific article; zbMATH DE number 6945779
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Nonexistence of positive solutions for a system of semilinear fractional Laplacian problem.
scientific article; zbMATH DE number 6945779

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    Nonexistence of positive solutions for a system of semilinear fractional Laplacian problem. (English)
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    1 October 2018
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    A semilinear system with a nonlocal fractional Laplasian is considered. The linear part of the system enables to go to a variational representation and use corresponding techniques. The result about nonexistence of a positive solution is obtained.
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    positive solutions
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    fractional Laplasian
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    Green's function
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