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

J. J. Manfredi; J. D. Rossi; J. M. Urbano

doi:10.1016/j.na.2009.06.054

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

J. J. Manfredi, J. D. Rossi, J. M. Urbano

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	309-315
Number of pages	7
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	72
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2009.06.054
State	Published - Jan 1 2010
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2009.06.054

Cite this

@article{e1aa42b88d9f4300b226dffa22d6102b,

title = "Limits as p (x) → ∞ of p (x)-harmonic functions",

abstract = "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. {\textcopyright} 2009 Elsevier Ltd. All rights reserved.",

author = "Manfredi, {J. J.} and Rossi, {J. D.} and Urbano, {J. M.}",

note = "Generated from Scopus record by KAUST IRTS on 2023-02-15",

year = "2010",

month = jan,

day = "1",

doi = "10.1016/j.na.2009.06.054",

language = "English (US)",

volume = "72",

pages = "309--315",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Limits as p (x) → ∞ of p (x)-harmonic functions

AU - Manfredi, J. J.

AU - Rossi, J. D.

AU - Urbano, J. M.

N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15

PY - 2010/1/1

Y1 - 2010/1/1

N2 - 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.

AB - 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.

UR - https://linkinghub.elsevier.com/retrieve/pii/S0362546X09008323

UR - http://www.scopus.com/inward/record.url?scp=71749103635&partnerID=8YFLogxK

U2 - 10.1016/j.na.2009.06.054

DO - 10.1016/j.na.2009.06.054

M3 - Article

SN - 0362-546X

VL - 72

SP - 309

EP - 315

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

ER -

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

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this