Showing 2018Show all
3 papers · 1 filter
math.MG2018
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…
math.AP2018
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…
math.AP2018
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 …