Banach空间中单调和增生算子扰动的非线性特征值问题(英文)

ON THE NONLINEAR EIGENVALUE PROBLEM FOR PERTURBATIONS OF MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES

建立了一些关于算子对 T,P(或 C)的某类非线性特征值λ的存在性结果 ,其中 T是极大单调算子或 m-增生算子 ,P是 (S) + 算子 ,C是紧算子 .其结果推广并改进了一些已有的结果 .

The authors establish some results concerning the existence of certain type of nonlinear eigenvalues λ for a pair of operators T, P (or C), where T is maximal monotone or maccretive, P is (S) + type and C is compact. Those results extend and improve some known results.