Strong resonance problems for the one-dimensional p-Laplacian
We study the existence of the weak solution of the nonlinear boundary-value problem $$displaylines{ -(|u'|^{p-2}u')'= lambda |u|^{p-2}u + g(u)-h(x)quad hbox{in } (0,pi) ,cr u(0)=u(pi )=0,, }$$ where $p$ and $lambda$ are real numbers, $p$ greater than 1, $hin L^{p'}(0,pi )$ ($p&...
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Format: | Article |
Language: | English |
Published: |
Texas State University
2005-01-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2005/08/abstr.html |