The Fučik spectrum and critical groups (Q2719004)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The Fucik spectrum and critical groups |
scientific article; zbMATH DE number 1597895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Fučik spectrum and critical groups |
scientific article; zbMATH DE number 1597895 |
Statements
14 May 2001
0 references
semilinear elliptic PDE
0 references
jumping nonlinearities
0 references
Fučik spectrum
0 references
variational methods
0 references
Morse theory
0 references
critical groups
0 references
0 references
0 references
The Fučik spectrum and critical groups (English)
0 references
The authors compute critical groups of zero for the variational functional NEWLINE\[NEWLINE I(u,a,b)=\int_\Omega |\nabla u|^2 -a (u^-)^2-b(u^+)^2,\quad u\in H_0^1(\Omega), NEWLINE\]NEWLINE associated with the problem NEWLINE\[NEWLINE-\Delta u=bu^+-au^-\quad \text{in} \Omega,\qquad u=0\quad \text{on} \partial\OmegaNEWLINE\]NEWLINE where \(\Omega\in {\mathbb R}^n\) is a smooth domain and \(u^\pm=\max\{\pm u(x),0\}.\)
0 references
