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math.AP2013★ 3 cited
On integrals of eigenfunctions over geodesics
Xuehua Chen, Christopher D. Sogge
If is a compact Riemannian surface then the integrals of -normalized eigenfunctions over geodesic segments of fixed length are uniformly bounded. Also, if $(M…
math.AP2013
The Maximum Principles and Symmetry results for Viscosity Solutions of Fully Nonlinear Equations
Guozhen Lu, Jiuyi Zhu
This paper is concerned about maximum principles and radial symmetry for viscosity solutions of fully nonlinear partial differential equations. We obtain the radial symmetry and mo…