Nonexistence and symmetry of solutions for Schrödinger systems involving fractional Laplacian

DOI10.3934/dcds.2019071zbMath1415.35289OpenAlexW2904432233MaRDI QIDQ1725815

Ran Zhuo, Yan Li

Publication date: 15 February 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2019071

zbMATH Keywords

Kelvin transformmethod of moving planesradial symmetryfractional Laplaciannonexistence of positive solutionsnarrow region principleSchrödinger systemsdecay at infinity

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Critical exponents in context of PDEs (35B33) Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (7)

Classification of solutions to higher fractional order systems ⋮ Monotonicity of solutions for a class of uniformly elliptic nonlocal Bellman systems ⋮ Maximum principles for Laplacian and fractional Laplacian with critical integrability ⋮ Synchronized and segregated vector solutions for nonlinear fractional Schrödinger systems ⋮ Properties of positive solutions to nonlocal problems with negative exponents in unbounded domains ⋮ Symmetry of positive solutions to quasilinear fractional systems ⋮ Regularity and existence of positive solutions for a fractional system

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