Abstract
In this paper, we use the Nehari manifold method and Ljusternik-Schnirelmann category to prove the multiplicity result of positive solutions for the semi-linear elliptic systems with critical cone Sobolev exponent on manifolds with conical singularities.
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Acknowledgments
The first author would like to thank the support from the Collaborative Innovation Center of Mathematics in Wuhan University.
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Supported by NSFC of China (Grant Nos. 11371282, 11571259).
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Liu, X., Zhang, S. Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight on manifolds with conical singularities. J. Pseudo-Differ. Oper. Appl. 7, 451–471 (2016). https://doi.org/10.1007/s11868-016-0147-y
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DOI: https://doi.org/10.1007/s11868-016-0147-y
Keywords
- Conical singularity
- Critical cone Sobolev exponent
- Nehari manifold method
- Ljusternik-Schnirelmann category