Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities
In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove that problem admits at least cat$(\Omega)+1$...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/82/abstr.html |