In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is introduced and some related properties are investigated. Applying this concept, a characterization of the minimal elements of X is given. It is proved that C(pc) is the least closed pseudo BCI-ideal of X containing C and K(X) for any ideal C of X...

We provide a general framework to study invariant properties of various gradient-like and Laplace-like differential operators naturally associated geometric structures on $\mathbb{R}^n$, which encompass Euclidean, Minkowski, pseudo-Euclidean symplectic structures.

Abstract In this work we study the existence of solutions $$u \in W^{1,p}_0(\Omega )$$ u∈W01,p(Ω)</mml...

This paper concerns G-invariant systems of second order differential operators on irreducible Hermitian symmetric spaces G/K. The systems of type (1, 1) are obtained from K-invariant subspaces of p+ ⊗ p−. We show that all such systems can be derived from a decomposition p+ ⊗ p− = H′ ⊕ L ⊕ Hc. Here L gives the Laplace-Beltrami operator and H = H′⊕L is the celebrated Hua system, which has been ex...