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

How to cite

top

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

top
  1. [1] Ambrosetti A., Prodi G., A Primer of Nonlinear Analysis, Cambridge Studies in Adv. Math, vol. 34, 1993. Zbl0818.47059
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.