A Fourth Order Nonlinear Elliptic Equation with Jumping Nonlinearity
نویسندگان
چکیده
We investigate the existence of solutions of the fourth order nonlinear elliptic boundary value problem under Dirichlet boundary condition A2u + CAU = bu+ + f in 0, where R is a bounded open set in Rn with smooth boundary and the nonlinearity bu+ crosses eigenvalues of A2 + CA. We also investigate a relation between multiplicity of solutions and source terms of the equation with the nonlinearity crossing an eigenvalue.
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تاریخ انتشار 2003