Abstract

In this paper, we study the existence and multiplicity of nontrivial solutions for an anisotropic discrete nonlinear problem with variable exponent. The analysis makes use of variational methods and critical point theory.

Keywords: Discrete nonlinear boundary value problems; nontrivial solution; critical point theory; variational methods.

MSC: 47A75, 34B15, 35B38, 65Q10

DOI: 10.57016/MV-mZnH3231

Pages:  185--195     

Volume  76 ,  Issue  3 ,  2024