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Nonexistence of positive solutions for a semi-linear equation involving the fractional Laplacian in \(\mathbb{R}^n\)

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Publication:729613
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DOI10.1016/S0252-9602(16)30030-3zbMath1363.35370MaRDI QIDQ729613

Yan Li

Publication date: 6 January 2017

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)


zbMATH Keywords

method of moving planessubcritical casefractional Laplaciannonexistence of positive solutions


Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Fundamental solutions to PDEs (35A08) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)


Related Items (2)

A Liouville theorem for the higher-order fractional Laplacian ⋮ Nonnegativity of solutions of nonlinear fractional differential-algebraic equations




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