Riv. Mat. Univ. Parma, Vol. 6, No. 2, 2015

Carole Louis-Rose[1] and Jean Vélin[2]

On a non-existence result involving the fractional $$p$$-Laplacian

Pages: 345-355
Accepted in revised form: 12 January 2016
Mathematics Subject Classification (2010): 35R11.
Keywords: Non-existence, weak solution, fractional $$p$$-Laplacian.
[1],[2] : Department of Mathematics and Computer, Laboratory CEREGMIA, University of Antilles, Campus of Fouillole, Pointe-à-Pitre, 97159, Guadeloupe (FWI)

Abstract: We consider a nonlocal problem involving the fractional $$p$$-Laplacian operator in bounded smooth domains. A non-existence result is obtained via a comparison process. This result extends those done for the fractional Laplacian.

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