no. 6
Symmetry properties for the extremals of the Sobolev trace embedding
Annales de l'I.H.P. Analyse non linéaire, Tome 21 (2004) no. 6, pp. 795-805 
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     author = {Fern\'andez Bonder, Julian and Lami Dozo, Enrique and Rossi, Julio D.},
     title = {Symmetry properties for the extremals of the {Sobolev} trace embedding},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {795--805},
     year = {2004},
     publisher = {Elsevier},
     volume = {21},
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     doi = {10.1016/j.anihpc.2003.09.005},
     mrnumber = {2097031},
     zbl = {02137605},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.anihpc.2003.09.005/}
}
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Fernández Bonder, Julian; Lami Dozo, Enrique; Rossi, Julio D. Symmetry properties for the extremals of the Sobolev trace embedding. Annales de l'I.H.P. Analyse non linéaire, Tome 21 (2004) no. 6, pp. 795-805. doi: 10.1016/j.anihpc.2003.09.005

[1] Ambrosetti A., Prodi G., A Primer of Nonlinear Analysis, Cambridge Studies in Adv. Math, vol. 34, 1993. | Zbl

[2] Abramowitz M., Stegun I.A., Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series, vol. 55, 1964, Washington, DC. | MR

[3] Adimurthi , Yadava S.L., Positive solution for Neumann problem with critical non-linearity on boundary, Comm. Partial Differential Equations 16 (11) (1991) 1733-1760. | Zbl | MR

[4] Del Pino M., Flores C., Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains, Comm. Partial Differential Equations 26 (11-12) (2001) 2189-2210. | Zbl | MR

[5] Escobar J.F., Sharp constant in a Sobolev trace inequality, Indiana Math. J 37 (3) (1988) 687-698. | Zbl | MR

[6] Fernández Bonder J., Rossi J.D., Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains, Comm. Pure Appl. Anal 1 (3) (2002) 359-378. | Zbl | MR

[7] Gidas B., Ni W.M., Nirenberg L., Symmetry and related properties via maximum principle, Comm. Math. Phys 68 (1979) 209-243. | Zbl | MR

[8] Martinez S., Rossi J.D., Isolation and simplicity for the first eigenvalue of the p-Laplacian with a nonlinear boundary condition, Abst. Appl. Anal 7 (5) (2002) 287-293. | Zbl | MR

[9] Watson G.N., A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, 1995, Reprint of the second (1944) edition. Cambridge Mathematical Library. | Zbl | MR

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