# Sharp estimates for the Ambrosetti-Hess problem and consequences

Journal of the European Mathematical Society (2006)

- Volume: 008, Issue: 2, page 287-294
- ISSN: 1435-9855

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topGámez, 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 -

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