Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 32, pp. 1-9.

Title: Positive solutions for anisotropic discrete boundary-value problems
        
Authors: Marek Galewski  (Technical Univ., of Lodz, Poland)
         Szymon Glab     (Technical Univ., of Lodz, Poland)
         Renata Wieteska (Technical Univ., of Lodz, Poland)
        
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].


Submitted August 12, 2012. Published January 30, 2013.
Math Subject Classifications: 39A10, 34B18, 58E30.
Key Words: Discrete boundary value problem; mountain pass theorem; 
           variational methods; Karush-Kuhn-Tucker Theorem; 
           positive solution; anisotropic problem.