This book describes three classes of nonlinear partial integro-differential equations. These
models arise in electromagnetic diffusion processes and heat flow in materials with memory …

In this paper, we analyze the existence and the numerical simulation of a capacity solution to
a coupled nonlinear elliptic system, whose unknowns are the temperature inside a …

In this paper, we investigate the existence and regularity of a capacity solution for a coupled
nonlinear anisotropic parabolic-elliptic system, where the elliptic component of the parabolic …

The existence of a capacity solution to a coupled nonlinear parabolic–elliptic system is
analyzed, the elliptic part in the parabolic equation being of the form-\, div\, a (x, t, u, ∇ u)-div …

We analyze the existence of a capacity solution to the following nonlinear elliptic coupled
system, whose unknowns are the temperature inside a semiconductor material, u, and the …

We study the existence of a capacity solution for a nonlinear elliptic coupled system in
anisotropic Orlicz-Sobolev spaces. The unknowns are the temperature inside a …

In this paper, in the context of anisotropic Orlicz–Sobolev spaces, we analyze the existence
of a capacity solution to a system of two coupled perturbed elliptic equations, one of which …

We perform some 3D numerical experiments for the approximation of the solutions to a bead
type thermistor problem. We consider the case of a diagonal anisotropic diffusion matrix …

We consider the system (∂/∂ t) u=∆ u+ σ (u)|∇ φ| 2, div (σ (u)∇ φ)= 0 in a bounded region
of ℝN coupled with initial and boundary conditions, where σ (s)∈ C (ℝ) is nonnegative and …

In this paper we introduce an obstacle thermistor system. The existence of weak solutions to
the steady-state systems and capacity solutions to the time dependent systems are obtained …