S. Tersian
bDepartment of Mathematics, University of Ruse, Ruse, Bulgaria. Associate at Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113- Sofia, Bulgaria
[ 1 ] - A VARIATIONAL APPROACH TO THE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR DIFFERENCE EQUATIONS
The existence of infinitely many solutions for an anisotropic discrete non-linear problem with variable exponent according to p(k)–Laplacian operator with Dirichlet boundary value condition, under appropriate behaviors of the non-linear term, is investigated. The technical approach is based on a local minimum theorem for differentiable functionals due to Ricceri. We point out a theorem as a spe...
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