The Existence of Global Solution for a Class of Semilinear Equations on Heisenberg Group

摘要

Based on the concepts of a generalizedcritical point and the corresponding generalized P.S. Conditionintroduced by Duong Minh Duc [1], we have proved a new Z2 index theorem and get a result on multiplicity of generalized critical points. Using the result and a quite standard variational method,it is found that the equation