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A MULTIPLICITY RESULT FOR A CLASS OF EQUATIONS OF p-LAPLACIAN TYPE WITH SIGN-CHANGING NONLINEARITIES

Published online by Cambridge University Press:  01 September 2009

NGUYEN THANH CHUNG  and
QUỐC ANH NGÔ
NGUYEN THANH CHUNG
Affiliation:
Department of Mathematics and Informatics, Quang Binh University, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam e-mail: ntchung82@yahoo.com
QUỐC ANH NGÔ
Affiliation:
Department of Mathematics, College of Science, Vietnam National University, Hanoi, VietnamDepartment of Mathematics, National University of Singapore, Science Drive 2, Singapore117543 e-mail: bookworm_vn@yahoo.com
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Abstract

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Using variational arguments we study the non-existence and multiplicity of non-negative solutions for a class equations of the form where Ω is a bounded domain in N, N ≧ 3, f is a sign-changing Carathéodory function on Ω × [0, +∞) and λ is a positive parameter.

Keywords

35J2035J6035J6558E05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 3 , September 2009 , pp. 513 - 524
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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