Geodesic
Mean curvature and least energy solutions for the critical Neumann problem with weight
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 715-733

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In this paper we consider the Neumann problem involving a critical Sobolev exponent. We investigate a combined effect of the coefficient of the critical Sobolev nonlinearity and the mean curvature on the existence and nonexistence of solutions. 
Chabrowski, J. Mean curvature and least energy solutions for the critical Neumann problem with weight. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 715-733. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a8/
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     author = {Chabrowski, J.},
     title = {Mean curvature and least energy solutions for the critical {Neumann} problem with weight},
     journal = {Bollettino della Unione matematica italiana},
     pages = {715--733},
     year = {2002},
     volume = {Ser. 8, 5B},
     number = {3},
     zbl = {1097.35046},
     mrnumber = {MR1934376},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a8/}
}
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