With Navier Boundary Conditions P(x)-weak Biharmonic Equation Existence And Multiple Solutions

This paper discusses the changing index space with Navier boundary conditions p(x)-biharmonic equation Existence and Multiple weak Solutions:First, the use of monotone mapping theory to prove existence of solutions of the equation. Secondly, the use of Bonanno's three critical point theory we prove the Multiple Solutions.The first chapter is the introduction, introduces the exponent of space, resulting in the main characters in the background and scope of national schillings teacher's work and achievements in this area.Secondly, the paper is to introduce the object of study, the main research methods (maximal monotone theory, three critical points theorem), and gives the results of this paper (Existence and Multiple Solutions.)The second chapter is to prove the main results and prove some lemmas necessary part of the study detailed definition of space, that is, the two variable index spaceThe fourth chapter in the appropriate restrictions on the nonlinear terms, the use of critical point theory of three Bonanno prove p (x)-more than double harmonic solution of the equation...