5 citations · 9 across the 6 of their papers we have counts for
6 papers
Matrix representation of a cross product and related curl-based differential operators in all space dimensions
Peter Lewintan
A higher dimensional generalization of the cross product is associated with an adequate matrix multiplication. This index-free view allows for a better understanding of the underly…
Decay estimate for the solution of the evolutionary damped -Laplace equation
Farid Bozorgnia, Peter Lewintan
In this note, we study the asymptotic behavior, as tends to infinity, of the solution to the evolutionary damped -Laplace equation \begin{equation*} u_{tt}+a\, u_t =Δ_p…
On Bernstein-type theorems
Peter Lewintan
We summarize results concerning the Bernstein property of differential equations.
Geometric Calculus of the Gauss Map
Peter Lewintan
In this paper we connect classical differential geometry with the concepts from geometric calculus. Moreover, we introduce and analyze a more general Laplacian for multivector-valu…
The "Wrong Minimal Surface Equation" does not have the Bernstein property
Peter Lewintan
A celebrated result of S. Bernstein states that every solution of the minimal surface equation over the entire plane has to be an affine linear function. Since the paper of Bernste…
On -minimizing hypercones
Peter Lewintan
In this paper we considerably extend the class of known -minimizing hypercones using sub-calibration methods. Indeed, the improvement of previous results follows from a careful…