Direct Methods for Pseudo-relativistic Schrödinger Operators

In this paper, we establish various maximal principles and develop the direct moving planes and sliding methods for equations involving the physically interesting (nonlocal) pseudo-relativistic Schrödinger operators ( - Δ + m 2 ) s with s ∈ ( 0 , 1 ) and mass m > 0 . As a consequence, we also der...

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Veröffentlicht in:	The Journal of Geometric Analysis 2021-06, Vol.31 (6), p.5555-5618
Hauptverfasser:	Dai, Wei, Qin, Guolin, Wu, Dan
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematical analysis Mathematics Mathematics and Statistics Minimal surfaces Nonlinearity Operators (mathematics) Relativistic effects Schrodinger equation
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