A priori estimates for the vector p -Laplacian with potential boundary conditions

摘要

This paper deals with the solvability of the boundary value problem {ll -(|u¢|p-2u¢)¢ = f(t,u) + l(t), in (0, T),((|u¢|p-2u¢)(0), -(|u¢|p-2u¢)(T)) Î ¶j(u(0), u(T)), left{begin{array}{ll} -(|u^{prime}|^{p-2}u^{prime})^{prime}= f(t,u) + l(t),,,{rm in} (0, T), ((|u^{prime}|^{p-2}u^{prime})(0), -(|u^{prime}|^{p-2}u^{prime})(T)) in {partial}j(u(0), u(T)), end{array}right.