MULTIPLICITY OF SOLUTIONS AND SOURCE TERMS IN A FOURTH ORDER NONLINEAR ELLIPTIC EQUATION  

作　　者：Choi Q-Heung Jung Tacksun(Departmctzt of Mathematics, Inha University, Incheon 402-751, KoreaDepartment of Mathematics, Kunsan National University, Kunsan 573-701, Korea) 

出　　处：《Acta Mathematica Scientia》1999年第4期361-374,共14页数学物理学报（B辑英文版）

摘　　要：The authors investigatc relations between multiplicity of solutions and sourceterms of the fourth order nonlinear elliptic boundary value problem under Dirichlet boundary condition △2u＋c△u = bu+＋f inΩ, wherc Ω is a bounded open set in Rn with smoothbonndary and the nonlinearity bu+ crosses eigenvalues of △2 ＋c△. They investigate therelatiolls when the source term is constant and when it is generated by two eigenfuntions.The authors investigatc relations between multiplicity of solutions and sourceterms of the fourth order nonlinear elliptic boundary value problem under Dirichlet boundary condition △2u＋c△u = bu+＋f inΩ, wherc Ω is a bounded open set in Rn with smoothbonndary and the nonlinearity bu+ crosses eigenvalues of △2 ＋c△. They investigate therelatiolls when the source term is constant and when it is generated by two eigenfuntions.

关 键 词：Nonlinear elliptic equation SOLUTION source terms boundary value problem 

分 类 号：O175[理学—数学]