EXISTENCE OF INFINITELY MANY SOLUTIONS OF BIHARMONIC EQUATIONS INVOLVING LOGARITHMIC NONLINEARITY
In this paper, we consider the Dirichlet boundary value problem for some fourth-order semilinear elliptic equations involving logarithmic nonlinearity in bounded domain. By using the logarithmic Sobolev inequality and fountain theorem we show this problem has infinitely many solutions.
biharmonic equation, fountain theorem, infinitely many solutions, logarithmic nonlinear term, variational methods.
