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Leray–Schauder alternatives for weakly sequentially continuous mappings and application to transport equation
Author(s) -
Amar Afif Ben,
Mnif Maher
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1152
Subject(s) - mathematics , locality , fixed point theorem , type (biology) , boundary value problem , fixed point , boundary (topology) , pure mathematics , mathematical analysis , ecology , philosophy , linguistics , biology
Motivated by the study of a general radiative transfer problem, we state some new variants of Leray–Schauder type fixed point theorems for weakly sequentially continuous operators. Further, we apply our results to establish some new existence and locality principles for a source problem in L 1 ‐setting with generally boundary conditions. Copyright © 2009 John Wiley & Sons, Ltd.