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Nonvariational approach in the study of Kirchhoff‐type equations without symmetry and involving variable exponent
Author(s) -
Aouaoui Sami
Publication year - 2012
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.2528
Subject(s) - mathematics , symmetry (geometry) , exponent , variable (mathematics) , space (punctuation) , mathematical analysis , type (biology) , mathematical physics , geometry , computer science , ecology , philosophy , linguistics , biology , operating system
In this paper, we study many quasilinear problems without symmetry involving variable exponent growth conditions and nonlocal terms on the whole space R N . Employing several nonvariational techniques, we prove various results of existence of nonnegative solutions. Copyright © 2012 John Wiley & Sons, Ltd.