Sharp estimates for the Ambrosetti-Hess problem and consequences

Gámez, José, and Ruiz-Hidalgo, Juan. "Sharp estimates for the Ambrosetti-Hess problem and consequences." Journal of the European Mathematical Society 008.2 (2006): 287-294. <http://eudml.org/doc/277736>.

@article{Gámez2006,
abstract = {Motivated by [3], we define the “Ambrosetti–Hess problem” to be the problem of bifurcation from infinity and of the local behavior of continua of solutions of nonlinear elliptic eigenvalue problems. Although the works in this direction underline the asymptotic properties of the nonlinearity, here we point out that this local behavior is determined by the global shape of the nonlinearity.},
author = {Gámez, José, Ruiz-Hidalgo, Juan},
journal = {Journal of the European Mathematical Society},
keywords = {Ambrosetti-Hess problem; bifurcation of solutions; eigenvalues; strongly resonant problem; Ambrosetti-Hess problem; bifurcation of solutions; eigenvalues; strongly resonant problem},
language = {eng},
number = {2},
pages = {287-294},
publisher = {European Mathematical Society Publishing House},
title = {Sharp estimates for the Ambrosetti-Hess problem and consequences},
url = {http://eudml.org/doc/277736},
volume = {008},
year = {2006},
}

TY - JOUR
AU - Gámez, José
AU - Ruiz-Hidalgo, Juan
TI - Sharp estimates for the Ambrosetti-Hess problem and consequences
JO - Journal of the European Mathematical Society
PY - 2006
PB - European Mathematical Society Publishing House
VL - 008
IS - 2
SP - 287
EP - 294
AB - Motivated by [3], we define the “Ambrosetti–Hess problem” to be the problem of bifurcation from infinity and of the local behavior of continua of solutions of nonlinear elliptic eigenvalue problems. Although the works in this direction underline the asymptotic properties of the nonlinearity, here we point out that this local behavior is determined by the global shape of the nonlinearity.
LA - eng
KW - Ambrosetti-Hess problem; bifurcation of solutions; eigenvalues; strongly resonant problem; Ambrosetti-Hess problem; bifurcation of solutions; eigenvalues; strongly resonant problem
UR - http://eudml.org/doc/277736
ER -