Potential Landesman-Lazer type conditions and the Fucik spectrum
We prove the existence of solutions to the nonlinear problem $$displaylines{ u''(x)+lambda_+ u^+(x)-lambda_- u^-(x)+g(x,u(x))=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $[lambda_+,lambda_-]$ is a point of the Fucik spectrum and the nonlinearity $g(x,u(x))$ satisfies a po...
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| Format: | Article |
| Language: | English |
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Texas State University
2005-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/94/abstr.html |