A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems
In this paper, we establish an equivalent statement to minimax inequality for a special class of functionals. As an application, we prove the existence of three solutions to the Dirichlet problem $$displaylines{ -u''(x)+m(x)u(x) =lambda f(x,u(x)),quad xin (a,b),cr u(a)=u(b)=0,...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2006-10-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2006/121/abstr.html |