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

In this note we study the limit as p (x) → ∞ of solutions to - Δp (x) u = 0 in a domain Ω, with Dirichlet boundary conditions. Our approach consists in considering sequences of variable exponents converging uniformly to + ∞ and analyzing how the corresponding solutions of the problem converge and wh...

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Detalles Bibliográficos
Autores principales: Manfredi, J.J., Rossi, J.D., Urbano, J.M.
Formato: JOUR
Materias:
Infinity Laplacian
p (x)-Laplacian
Variable exponents
Viscosity solutions
Corresponding solutions
Dirichlet boundary condition
Harmonic function
Laplacians
P (x)-Laplacian
Fourier series
Harmonic analysis
Viscosity
Laplace transforms
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v72_n1_p309_Manfredi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:In this note we study the limit as p (x) → ∞ of solutions to - Δp (x) u = 0 in a domain Ω, with Dirichlet boundary conditions. Our approach consists in considering sequences of variable exponents converging uniformly to + ∞ and analyzing how the corresponding solutions of the problem converge and which equation is satisfied by the limit. © 2009 Elsevier Ltd. All rights reserved.

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