A PRIORI ESTIMATES AND EXISTENCE FOR QUASILINEAR ELLIPTIC EQUATIONS WITH NONLINEAR NEUMANN BOUNDARY CONDITIONS

作者：Hu, Zhe^*; Wang, Li; Zhao, Peihao

来源：Electronic Journal of Differential Equations, 2016, 187.

• m-Laplacian
• nonlinear Neumann boundary conditions
• a priori estimates

This article concerns the existence of positive solutions for a nonlinear Neumann problem involving the m-Laplacian. The equation does not have a variational structure. We use a blow-up argument and a Liouville-type theorem to obtain a priori estimates and obtain the existence of positive solutions by the Krasnoselskii fixed point theorem.

• 出版日期2016-7-12
• 单位兰州大学