Differential and Integral Equations

On a double resonant problem in $\Bbb R^N$

Marcelo F. Furtado, Liliane A. Maia, and Elves A. B. Silva

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

It is established, via variational methods, the existence and multiplicity of solutions for a class of semilinear elliptic equations in ${{\mathbb R}^N}$. The condition on the potential implies that the associated linear problem possesses a sequence of positive eigenvalues. This fact is used to study double resonant problems under a local nonquadraticity condition at infinity and pointwise limits. For the existence of solution the nonlinearity may satisfy a critical growth condition.

Article information

Source
Differential Integral Equations, Volume 15, Number 11 (2002), 1335-1344.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060725

Mathematical Reviews number (MathSciNet)
MR1920690

Zentralblatt MATH identifier
1034.35024

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B33: Critical exponents 35J20: Variational methods for second-order elliptic equations

Citation

Furtado, Marcelo F.; Maia, Liliane A.; Silva, Elves A. B. On a double resonant problem in $\Bbb R^N$. Differential Integral Equations 15 (2002), no. 11, 1335--1344. https://projecteuclid.org/euclid.die/1356060725


Export citation