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Title: Limits as p(x) of p(x)-harmonic functions
Authors: Manfredi, Juan J. 
Rossi, Julio D. 
Urbano, José Miguel 
Keywords: p(x)-Laplacian; Infinity-Laplacian; Variable exponents; Viscosity solutions
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-13 (2009)
Abstract: 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 equation is satisfied by the limit.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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