Advances in Differential Equations
- Adv. Differential Equations
- Volume 1, Number 6 (1996), 1025-1052.
Sign changing solutions of nonlinear elliptic equations
Monica Musso and Donato Passaseo
Abstract
This paper is concerned with a class of nonlinear elliptic Dirichlet problems approximating degenerate equations. If the degeneration set consists of $k$ connected components, by using variational methods, it is proved the existence of $k^{2}$ distinct nodal solutions, having exactly two nodal regions, whose positive and negative parts concentrate near subsets of the degeneration set.
Article information
Source
Adv. Differential Equations, Volume 1, Number 6 (1996), 1025-1052.
Dates
First available in Project Euclid: 25 April 2013
Permanent link to this document
https://projecteuclid.org/euclid.ade/1366895243
Mathematical Reviews number (MathSciNet)
MR1409898
Zentralblatt MATH identifier
0864.35044
Subjects
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35B25: Singular perturbations 35J70: Degenerate elliptic equations
Citation
Musso, Monica; Passaseo, Donato. Sign changing solutions of nonlinear elliptic equations. Adv. Differential Equations 1 (1996), no. 6, 1025--1052. https://projecteuclid.org/euclid.ade/1366895243
