Limits as p(x) of p(x)-harmonic functions

In this note we study the limit as p(x) ! 1of solutions to − p(x)u = 0 in a domain , with Dirichlet boundary conditions. Our approach consists in considering sequences of variable exponents converging uniformly to +1 and analyzing how the corresponding solutions of the problem converge and what equa...

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Bibliographic Details
Main Author: Manfredi, Juan J. (author)
Other Authors: Rossi, Julio D. (author), Urbano, José Miguel (author)
Format: other
Language:eng
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/10316/11175
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11175