An application of a fixed-point theorem to Neumann problems on the Sierpinski fractal


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	An application of a fixed-point theorem to Neumann problems on the Sierpinski fractal


	Fixed Point Theory, Volume 19, No. 2, 2018, 475-486, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.38 Authors: Brigitte E. Breckner and Csaba Varga Abstract: 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. Key Words and Phrases: Sierpinski gasket, harmonic extension procedure, Leray-Schauder continuation principle, Neumann problem on the Sierpinski gasket. 2010 Mathematics Subject Classification: 28A80, 35J05, 35J25, 35J60, 46E20, 47H10, 49J52. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents