Multiplicity Results for the -Laplacian Equation with Singular Nonlinearities and Nonlinear Neumann Boundary Condition

[摘要] We investigate the singular Neumann problem involving the -Laplace operator   , in  , whereis a bounded domain withboundary,is a positive parameter, and , andare assumed to satisfy assumptions (H0)–(H5) in the Introduction. Using some variational techniques, we show the existence of a numbersuch that problemhas two solutions forone solution for , and no solutions for .

[学科分类] 几何与拓扑