4 papers
Bounded Variation on the Sierpinski Gasket
S. Verma, A. Sahu
Under certain continuity conditions, we estimate upper and lower box dimension of graph of a function defined on the Sierpinski gasket. We also give an upper bound for Hausdorff di…
On the box dimension of graph of harmonic functions on the Sierpiński gasket
Abhilash Sahu, Amit Priyadarshi
In this paper, we have obtained bounds for the box dimension of graph of harmonic function on the Sierpiński gasket. Also we get upper and lower bounds for the box dimension of gra…
Existence of multiple solutions of a p-Laplacian equation on the Sierpinski Gasket
Abhilash Sahu, Amit Priyadarshi
In this paper we study the following boundary value problem involving the weak p-Laplacian. \begin{equation*} \quad -M(\|u\|_{\mathcal{E}_p}^p)Δ_p u = h(x,u) \; \text{in}\; \mathca…
A System of p-Laplacian Equations on the Sierpinski Gasket
Abhilash Sahu, Amit Priyadarshi
In this paper we study a system of boundary value problems involving weak p-Laplacian on the Sierpiński gasket in . Parameters are real and …