We investigate the Fredholm alternative for the p-Laplacian in an exterior domain which is the complement of the closed unit ball in RN (N≥2). By employing techniques of Calculus of Variations we obtain the multiplicity of solutions. The striking difference between our case and the entire space case is also discussed. © 2018 Elsevier Ltd

Abhishek Sarkar

Department of Mathematics

IIT Jodhpur

P. Drábek

K. Ho

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Journal	Data powered by TypesetNonlinear Analysis, Theory, Methods and Applications
Publisher	Data powered by TypesetElsevier Ltd
ISSN	0362546X