The Existence Of Solution For P-Laplacian And P(x)-Lap-lacian Equations With Nonlinear Boundary Conditions

we consider the existence of solution for p-Laplacian with Dirichlet boundary con-dition.and show that the problem has at least two positive solutions; we also consider the existence of solution for p-Laplacian with nonlinear boundary conditions,and show that the problem has at least one nontrivial weak solution.Finally,we extend the p-Laplacian to p(x)-Laplacian and obtain that the equation with nonlinear boundary conditions has at least one nontrivial weak solution.