On Elliptic Problem with Singular Cylindrical Potential, a Concave Term, and Critical Caffarelli-Kohn-Nirenberg Exponent

DOI: 10.4236/am.2015.611166   PDF   HTML   XML   3,494 Downloads   3,909 Views  


In this paper, we establish the existence of at least four distinct solutions to an elliptic problem with singular cylindrical potential, a concave term, and critical Caffarelli-Kohn-Nirenberg exponent, by using the Nehari manifold and mountain pass theorem.

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Ould El Mokhtar, M. (2015) On Elliptic Problem with Singular Cylindrical Potential, a Concave Term, and Critical Caffarelli-Kohn-Nirenberg Exponent. Applied Mathematics, 6, 1891-1901. doi: 10.4236/am.2015.611166.

Conflicts of Interest

The authors declare no conflicts of interest.


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