The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues

Marita Gazzini; Enrico Serra

Annales de l'I.H.P. Analyse non linéaire (2008)

  • Volume: 25, Issue: 2, page 281-302
  • ISSN: 0294-1449

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Gazzini, Marita, and Serra, Enrico. "The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues." Annales de l'I.H.P. Analyse non linéaire 25.2 (2008): 281-302. <http://eudml.org/doc/78789>.

@article{Gazzini2008,
author = {Gazzini, Marita, Serra, Enrico},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {nonlinear elliptic equations; ground state; symmetry breaking},
language = {eng},
number = {2},
pages = {281-302},
publisher = {Elsevier},
title = {The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues},
url = {http://eudml.org/doc/78789},
volume = {25},
year = {2008},
}

TY - JOUR
AU - Gazzini, Marita
AU - Serra, Enrico
TI - The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2008
PB - Elsevier
VL - 25
IS - 2
SP - 281
EP - 302
LA - eng
KW - nonlinear elliptic equations; ground state; symmetry breaking
UR - http://eudml.org/doc/78789
ER -

References

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  14. [14] Ni W.-M., A nonlinear Dirichlet problem on the unit ball and its applications, Indiana Univ. Math. J.31 (6) (1982) 801-807. Zbl0515.35033MR674869
  15. [15] A. Pistoia, E. Serra, Multi-peak solutions for the Hénon equation with slightly subcritical growth, Math. Zeit., submitted for publication. Zbl1134.35047
  16. [16] Serra E., Non radial positive solutions for the Hénon equation with critical growth, Calc. Var. Partial Differential Equations23 (3) (2005) 301-326. Zbl1207.35147MR2142066
  17. [17] Secchi S., Serra E., Symmetry breaking results for problems with exponential growth in the unit disk, Comm. Contemp. Math.8 (6) (2006) 823-839. Zbl1197.35108MR2274942
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