A generalization of the Landesman-Lazer condition
In this paper we prove the existence of solutions to the semi-linear problem $$ displaylines{ u''(x)+m^2 u(x)+g(x,u(x))=f(x)cr u(0)=u(pi)=0 }$$ at resonance. We assume a Landesman-Lazer type condition and use a variational method based on the Saddle Point Theorem.
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| Format: | Article |
| Language: | English |
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Texas State University
2001-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/04/abstr.html |