ADMISSIBLE SOLUTIONS FOR DIRAC EQUATIONS WITH SINGULAR AND NON-MONOTONE NONLINEARITY

作者：Dong Yujun^*; Xie Jing

来源：Proceedings of the Edinburgh Mathematical Society, 2011, 54: 363-371.

DOI：10.1017/S0013091509000972

• admissible solutions
• Dirac equations
• singular and non-monotone nonlinearity
• general shooting methods

By making use of Merle's general shooting method we investigate Dirac equations of the form
u' + 2u/r = v(F(v(2) - u(2)) - (M - omega)),
v' = u(F(v(2) - u(2)) - (M + omega)).
Here it is possible that F(0) = -infinity and that F(s) defined on (0, +infinity) is not monotonously nondecreasing. Our results cover some known ones as a special case.

• 出版日期2011-6
• 单位南京师范大学