Title of article
On the Fucík spectrum
Author/Authors
Chong Li، نويسنده , , Shujie Li، نويسنده , , Zhaoli Liu، نويسنده , , Jianzhong Pan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
31
From page
2498
To page
2528
Abstract
In this paper, we study the structure of the Fucík spectrum of −Δ, the set of points (b,a) in for which the equation has a nontrivial solution. For this, we first prove a variant implicit function theorem. Then we use the variant implicit function theorem to obtain C1 curves in the Fucík spectrum under a local nondegenerate assumption. Solvability of the equation is also investigated. Some nodal domain theorems are proved.
Keywords
solvability , Homotopy index , nodal domain , Implicit function theorem , differentiability , Fuc?k spectrum , Fuc?k curve
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2008
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751391
Link To Document