In this paper, we use Fucik spectrum, ordinary differential equation theory of Banach spaces to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, especially with resonance at infinity, and obtain new results on the existence of multiple solutions and
The boundary trace and generalized boundary value problem for semilinear elliptic equations with coercive absorption
✍ Scribed by Moshe Marcus; Laurent Véron
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 392 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0010-3640
- DOI
- 10.1002/cpa.3037
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In [1, 2, 3, 4, 6], the authors posed and discussed some boundary‐value problems of second order elliptic equations with parabolic degeneracy. In [5], the authors posed and discussed some boundary‐value problems of second order mixed equations with degenerate curve on the sides of an an
A question of the existence of fiolutions of boundary-value problems for differential equations with parameter was considered by many authors, see [1]-[3] and [5]-[9]. The analogous problems for differential equations with a deviated argument was discussed in [8] and [3]. The purpose of this paper