The Fredholm Alternative For The p- Laplacian In Exterior Domains
Dr. Abhishek Sarkar University Of West Bohemia
Apr 18, 2017
from 04:00 PM to 05:00 PM
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Abstract: We investigate the Fredholm alternative for the p-Laplacian in an exterior domain which is the complement of the closed unit ball in R N (N ≥ 2). By employing techniques of Calculus of Variations we obtain the multiplicity of solutions. Our study also includes the usual Laplacian (i.e. p = 2). The striking difference between exterior domain and the entire space case is also discussed.