# Zeta determinants for regular-singular Laplace-type operators

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In this paper, we show that for each &lambd; âˆˆ â„, there is an increasing sequence of eigenvalues for the nonlinear boundary-value problem Î”pu = |u|p-2u in Î© |âˆ‡u|p-2 âˆ‚u/âˆ‚v = Î»Ï(x)|u|p-2u + Î¼|u|p-2u on âˆ‚Î©; also we show that the first eigenvalue...

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We prove existence results for solutions of periodic boundary value problems concerning the nth-order differential equation with p-Laplacian [Ï†(x(n-1)(t))]â€² = f (t,x(t),xâ€²(t), . . . , x(n-1)(t)) and the boundary value conditions x(i)(0)=x(i)(T), i = 0, . . . ,n-1. Our method is...