AN APPLICATION OF A FIXED-POINT THEOREM TO NEUMANN PROBLEMS ON THE SIERPINSKI FRACTAL

作者：Breckner Brigitte E^*; Varga Csaba

来源：Fixed Point Theory, 2018, 19(2): 475-486.

DOI：10.24193/fpt-ro.2018.2.38

• Sierpinski gasket
• harmonic extension procedure
• Leray-Schauder continuation principle
• Neumann problem on the Sierpinski gasket

We prepare first the background for the study of Neumann problems on the Sierpinski fractal in the N-dimensional Euclidean space. Hereafter we apply the Leray-Schauder continuation principle to prove the existence of at least one solution of certain Neumann problems on this fractal.

• 出版日期2018