Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator

Abstract

In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s three critical points theorem.

Keywords

• variable exponents
• variational methods
• critical points theorem
• 35j65
• 35j60
• 47j30
• 58e05