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báo cáo hóa học:" Existence and multiplicity of solutions for a fourth-order elliptic equation"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Existence and multiplicity of solutions for a fourth-order elliptic equation | Boundary Value Problems SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Existence and multiplicity of solutions fora fourth-order elliptic equation Boundary Value Problems 2012 2012 6 doi 10.1186 1687-2770-2012-6 Fanglei Wang wang-fanglei@hotmail.com Yukun An anykna@nuaa.edu.cn ISSN 1687-2770 Article type Research Submission date 26 August 2011 Acceptance date 17 January 2012 Publication date 17 January 2012 Article URL http www.boundaryvalueproblems.com content 2012 1 6 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Boundary Value Problems go to http www.boundaryvalueproblems.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2012 Wang and An licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Existence and multiplicity of solutions for a fourth-order elliptic equation Fanglei Wang 1 and Yukun An2 1 College of Science Hohai University Nanjing 210098 P. R. China 2Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing 210016 P. R. China Corresponding author wang-fanglei@hotmail.com Email address YA anykna@nuaa.edu.cn Abstract This article is concerned with the existence and multiplicity of nontrival solutions for a fourth-order elliptic equation ÍA2u M j I Vupuộ Au f x u inQ u Au 0 on ỠQ by using the mountain pass theorem. Keywords fourth-order elliptic equation nontrivial solutions mountain pass theorem. 1 1 Introduction In this article we study the existence .