Existence of nontrivial solutions for singular quasilinear equations with sign changing nonlinearity
By an application of Bonanno's three critical point theorem, we establish the existence of a nontrivial solution to the problem $$displaylines{ -Delta_p u= mu frac{g(x)|u|^{p-2}u}{|x|^p} +lambda a(x)f(u) quad hbox{in }Omega,cr u =0quad hbox{on }partial Omega, }$$ under some restrictions...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/117/abstr.html |