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A class of nonlinear equations multiplicity bridge

Author: LiYunXiao
Tutor: JinZhengGuo
School: Dalian University of Technology
Course: Applied Mathematics
Keywords: Eigenvalues Critical point Calculus of variations
CLC: O175.8
Type: Master's thesis
Year: 2010
Downloads: 22
Quote: 0
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Abstract


Boundary value problem for a class of partial differential equations with multiple solutions , and is the core research areas theory of differential equations , but also the focus of research in this area one of the topics . This paper mainly discusses a class of nonlinear equations which bridges s ≠ 0, s ∈ R, 3 lt; a lt; 15. Study of its Existence and multiplicity , and the use of variational methods and critical point theory and other tools proved. This paper is organized as follows : The first part introduction. The second part of the preliminaries . The third section presents a class of nonlinear equations multiplicity bridge the main results . The fourth section presents the main results of the proof. The fifth part conclusion.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Boundary Value Problems
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