Positive Solutions of a Kind of Equations Related to the Laplacian and p -Laplacian

الملخص EN

Positive solutions of a kind of equations related to the Laplacian and p -Laplacian on a bounded domain in R N with N ⩾ 1 are studied by using variational method.

A sufficient condition of the existence of positive solutions is characterized by the eigenvalues of linear and another nonlinear eigenvalue problems.