In this work, we investigate analytically the solutions of a nonlinear div-curl system with
fractional derivatives of the Riemann–Liouville or Caputo types. To this end, the fractional …

We investigate a generalization of the equation curl w→= g→ to an arbitrary number n of
dimensions, which is based on the well-known Moisil–Teodorescu differential operator …

We introduce the spaces A α, β p (Ω) of L p-solutions to the Vekua equation (generalized
monogenic functions) D w= α w¯+ β w in a bounded domain in R n, where D=∑ i= 1 nei∂ i …

A general solution of the equation curl\, ⃗ w+ λ ⃗ w= ⃗ g,\, λ ∈ C,\, λ ≠ 0 curl w→+ λ w→=
g→, λ∈ C, λ≠ 0 is obtained for an arbitrary bounded domain Ω ⊂ R^ 3 Ω⊂ R 3 with a …

In this manuscript, we characterize the kernel of the parabolic Dirac operator in an explicit
way. More precisely, we will show that the members of this kernel equivalently satisfy a …

The unique determination of a measurable conductivity from the Dirichlet-to-Neumann map
of the equation $\mathrm {div}(\sigma\nabla u)= 0$ is the subject of this note. A new strategy …

In this work, we investigate the system formed by the equations div w→= g 0 div\kern0. 3em
w= g _0 and curl w→= g→ curl\kern0. 3em w= g in bounded star‐shaped domains of ℝ 3 R …

The transmission boundary value problem for the three-dimensional Lamé–Navier system is
formulated and solved in terms of surface Cauchy-type integral operators and layer …

Let Ω be a bounded Lipschitz domain in ℝ 3 R^ 3. We introduce the Vekua-Hardy spaces H
fp (Ω) H_f^ p (Ω) of solutions of the main Vekua equation DW=(D f∕ f) W¯ DW=(Df/f) W …

We consider functions of a vector variable in a domain in 3-dimensional space, taking
values in the space of complex quaternions. Let D be the Moisil-Teodorescu differential …