Three solutions to a Neumann boundary value problem driven by p(x)-biharmonic operator
摘要
In this article, we establish the existence of at least three distinct weak solutions for a specific class of quasilinear elliptic equations. These equations incorporate the p(x)-biharmonic operator and are constrained by Neumann boundary conditions. Our technical approach is primarily founded on Ricceri’s three critical points theorem (Nonlinear Anal 70:3084–3089, 2009). In addition, we give an example to show our key findings.