Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function

✍ Scribed by Ruyun Ma; Xiaoling Han

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 384 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.01.046

✦ Synopsis

We investigate the existence of nodal solutions of an indefinite weight boundary value problem

where h ∈ C [0, 1] changes sign. The proof of our main result is based upon bifurcation techniques.