Multiplicity and dynamics of solutions of nonlinear differential equations

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(1)For the nonlinear elliptic boundary value problem with singular tems, we used the method of nonsmooth analysis which has been developed recently, and got some results on the multiple existence of solutions. The results are improvement of our former joint work with Professor Claudio Saccon in Pisa University.(2)For the nonlinear elliptic boundary value problem with nonhomogeneous terms, we established the multiple existence results by using variational method. The results ensure the existence of positive, negative and sign changing solutions. This work was done under cooperation with Professor AnnaMaria Micheletti in Pisa University and Angela Pistoia in Rome University.