Solution to a semilinear problem on type II regions determined by the Fucik spectrum
We prove the existence of solutions to the semi-linear problem $$displaylines{ u''(x)+alpha u^+(x)+ta u^-(x)=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $(alpha,eta)$ falls in regions of type (II) between curves of the Fucik spectrum. We use a variational method based on th...
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Format: | Article |
Language: | English |
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Texas State University
2003-01-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2003/08/abstr.html |