Existence And Uniqueness Of Solutions For P-Laplace Equation With Nonlinear Neumann Boundary Conditions

We study the solution for the following p-Laplace equations with nonlinear Neu-mann boundary conditions whereΩis a bounded smooth domain in RN with N≥2. Under appropriate assumptions on nonlinear terms f(x, u) and h(x, u), we prove the existence and uniqueness of weak solution for equation (P). Our approach is based on variational method.