Positive solutions for anisotropic discrete boundary-value problems

Abstract

Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution for anisotropic discrete Dirichlet boundary-value problems. Our results generalized and improve those in [16].

Keywords

• Discrete boundary value problem
• mountain pass theorem
• variational methods
• Karush-Kuhn-Tucker Theorem
• positive solution
• anisotropic problem