Semilinear elliptic equation involving thep-Laplacian on the Sierpiński gasket
Abhilash Sahu, Amit Priyadarshi · Complex Variables and Elliptic Equations · 2018
In this paper, we study the following boundary value problem involving the weak p-Laplacian where is the Sierpiński gasket in , is its boundary, , , and are appropriate functions. We will show the existence of a nontrivial weak solution to the above problem for a certain range of using the analysis of fibering maps on suitable subsets.