Symmetry properties for the extremals of the Sobolev trace embedding

Julian Fernández Bonder; Enrique Lami Dozo; Julio D. Rossi

Annales de l'I.H.P. Analyse non linéaire (2004)

  • Volume: 21, Issue: 6, page 795-805
  • ISSN: 0294-1449

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Fernández Bonder, Julian, Lami Dozo, Enrique, and Rossi, Julio D.. "Symmetry properties for the extremals of the Sobolev trace embedding." Annales de l'I.H.P. Analyse non linéaire 21.6 (2004): 795-805. <http://eudml.org/doc/78639>.

@article{FernándezBonder2004,
author = {Fernández Bonder, Julian, Lami Dozo, Enrique, Rossi, Julio D.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {nonlinear boundary conditions; Sobolev trace embedding},
language = {eng},
number = {6},
pages = {795-805},
publisher = {Elsevier},
title = {Symmetry properties for the extremals of the Sobolev trace embedding},
url = {http://eudml.org/doc/78639},
volume = {21},
year = {2004},
}

TY - JOUR
AU - Fernández Bonder, Julian
AU - Lami Dozo, Enrique
AU - Rossi, Julio D.
TI - Symmetry properties for the extremals of the Sobolev trace embedding
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2004
PB - Elsevier
VL - 21
IS - 6
SP - 795
EP - 805
LA - eng
KW - nonlinear boundary conditions; Sobolev trace embedding
UR - http://eudml.org/doc/78639
ER -

References

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  2. [2] Abramowitz M., Stegun I.A., Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series, vol. 55, 1964, Washington, DC. MR167642
  3. [3] Adimurthi, Yadava S.L., Positive solution for Neumann problem with critical non-linearity on boundary, Comm. Partial Differential Equations16 (11) (1991) 1733-1760. Zbl0780.35036MR1135918
  4. [4] del Pino M., Flores C., Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains, Comm. Partial Differential Equations26 (11–12) (2001) 2189-2210. Zbl1030.46037MR1876414
  5. [5] Escobar J.F., Sharp constant in a Sobolev trace inequality, Indiana Math. J37 (3) (1988) 687-698. Zbl0666.35014MR962929
  6. [6] Fernández Bonder J., Rossi J.D., Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains, Comm. Pure Appl. Anal1 (3) (2002) 359-378. Zbl1183.46031MR1903003
  7. [7] Gidas B., Ni W.M., Nirenberg L., Symmetry and related properties via maximum principle, Comm. Math. Phys68 (1979) 209-243. Zbl0425.35020MR544879
  8. [8] Martinez S., Rossi J.D., Isolation and simplicity for the first eigenvalue of the p-Laplacian with a nonlinear boundary condition, Abst. Appl. Anal7 (5) (2002) 287-293. Zbl1065.35215MR1908191
  9. [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. Zbl0849.33001MR1349110

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