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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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v72_n1_p309_Manfredi http://hdl.handle.net/20.500.12110/paper_0362546X_v72_n1_p309_Manfredi |
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paper:paper_0362546X_v72_n1_p309_Manfredi2023-06-08T15:35:23Z Limits as p (x) → ∞ of p (x)-harmonic functions Rossi, Julio Daniel Infinity Laplacian p (x)-Laplacian Variable exponents Viscosity solutions Corresponding solutions Dirichlet boundary condition Harmonic function Laplacians P (x)-Laplacian Viscosity solutions Fourier series Harmonic analysis Viscosity Laplace transforms 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. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v72_n1_p309_Manfredi http://hdl.handle.net/20.500.12110/paper_0362546X_v72_n1_p309_Manfredi |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Infinity Laplacian p (x)-Laplacian Variable exponents Viscosity solutions Corresponding solutions Dirichlet boundary condition Harmonic function Laplacians P (x)-Laplacian Viscosity solutions Fourier series Harmonic analysis Viscosity Laplace transforms |
| spellingShingle |
Infinity Laplacian p (x)-Laplacian Variable exponents Viscosity solutions Corresponding solutions Dirichlet boundary condition Harmonic function Laplacians P (x)-Laplacian Viscosity solutions Fourier series Harmonic analysis Viscosity Laplace transforms Rossi, Julio Daniel Limits as p (x) → ∞ of p (x)-harmonic functions |
| topic_facet |
Infinity Laplacian p (x)-Laplacian Variable exponents Viscosity solutions Corresponding solutions Dirichlet boundary condition Harmonic function Laplacians P (x)-Laplacian Viscosity solutions Fourier series Harmonic analysis Viscosity Laplace transforms |
| description |
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. |
| author |
Rossi, Julio Daniel |
| author_facet |
Rossi, Julio Daniel |
| author_sort |
Rossi, Julio Daniel |
| title |
Limits as p (x) → ∞ of p (x)-harmonic functions |
| title_short |
Limits as p (x) → ∞ of p (x)-harmonic functions |
| title_full |
Limits as p (x) → ∞ of p (x)-harmonic functions |
| title_fullStr |
Limits as p (x) → ∞ of p (x)-harmonic functions |
| title_full_unstemmed |
Limits as p (x) → ∞ of p (x)-harmonic functions |
| title_sort |
limits as p (x) → ∞ of p (x)-harmonic functions |
| publishDate |
2010 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v72_n1_p309_Manfredi http://hdl.handle.net/20.500.12110/paper_0362546X_v72_n1_p309_Manfredi |
| work_keys_str_mv |
AT rossijuliodaniel limitsaspxofpxharmonicfunctions |
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1768544779082137600 |