‎Using Nehari manifold methods and Mountain pass theorem‎, ‎the existence of nontrivial and radially symmetric solutions for a class of $p$-Kirchhoff-type system are established.

In this paper, we obtain the existence of positive critical point with least energy for a class functionals involving nonlocal and supercritical variable exponent nonlinearities by applying variational method approximation techniques. We apply our results to Schrödinger–Poisson type systems Kirchhoff equations exponent, respectively.

Helical configurations of inhomogeneous symmetric rods with non-constant bending and twisting stiffness are studied within the framework of the Kirchhoff rod model. From the static Kirchhoff equations, we obtain a set of differential equations for the curvature and torsion of the centerline of the rod and the Lancret’s theorem is used to find helical solutions. We obtain a free standing helical...

In this paper, we study the existence and multiplicity of weak solutions to a general type Kirchhoff equations in magnetic fractional Orlicz-Sobolev spaces. Specifically, appeal Critical Point Theory prove non-trivial under so-called Ambrosetti-Rabinowitz condition. We also state ground-state solutions. Moreover, results which yield an unbounded sequence are provided. Finally, show weak-type co...

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...