AXIAL SYMMETRY OF SOME STEADY STATE SOLUTIONS TO NONLINEAR SCHRODINGER EQUATIONS

作者：Gui Changfeng^*; Malchiodi Andrea; Xu Haoyuan

来源：Proceedings of the American Mathematical Society, 2011, 139(3): 1023-1032.

DOI：10.1090/S0002-9939-2010-10638-X

• Nonlinear Schrodinger equation
• steady state solution
• Hamiltonian identity
• axial symmetry
• the moving plane method

In this paper, we show the axial symmetry of steady state solutions of nonlinear Schrodinger equations when the exponent of the nonlinearity is between the critical Sobolev exponent of n-dimensional space and (n - 1)-dimensional space.

• 出版日期2011-3