| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 843194 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 12 Pages |
Abstract
In this paper, we study the effect of domain shape on the number of 2-nodal solutions for the semilinear elliptic equation involving non-odd nonlinearities. We prove that a semilinear elliptic equation in an mm-bump domain (possibly unbounded) has m2m2 2-nodal solutions and we can find a least energy nodal solution in those solutions. Furthermore, we can describe the bump location of these solutions.
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Authors
Tsung-fang Wu,