In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems with Neumann Boundary conditions, which involves general variable exponent elliptic operator critical growth. Under some suitable conditions on the nonlinearities, establish existence and multiplicity solutions for problem by using concentration-compactness principle Lions exponents mountain pass theor...

We investigate the well-posedness, the exponential stability, or the lack thereof, of thermoelastic systems in materials where, in contrast to classical thermoelastic models for Kirchhoff type plates, two temperatures are involved, related by an elliptic equation. The arising initial boundary value problems for different boundary conditions deal with systems of partial differential equations in...