Nonlinear eigenvalue problems of Schrödinger type admitting eigenfunctions with given spectral characteristics

Mathematische Nachrichten

Volumn 242, Issue , 2002, Pages 91-118

  Heid, Michael ^a   Heinz, Hans Peter ^b   Weth, Tobias ^a  

^a Johannes Gutenberg Universitt ^*  (Germany)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

Ljusternik Schnirelman levels; Nodal structure; Nonlinear eigenvalue problems; Nonlinear Sehr dinger equations

Indexed keywords

EID: 0036058715     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1522-2616(200207)242:1<91::AID-MANA91>3.0.CO;2-Z     Document Type: Article

References (24)

1. Lectures on exponential decay of solutions of second order elliptic equations
2. Brownian motion and Harnack inequality for Schrödinger operators
3. N
4. Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems on unbounded domains
5. Ljusternik-Schnirelman theory, complementary principles and the Morse index
6. Periodic solutions with prescribed properties for semilinear second-order equations and systems
7. Nonlinear eigenvalue problems admitting eigenfunctions with known geometric properties
8. Nodal properties and variational characterizations of solutions to nonlinear Sturm-Liouville problems
9. Nodal properties and bifurcation from the essential spectrum for a class of nonlinear Sturm-Liouville problems
10. Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems
11. Symetrie et compacit dans les espaces de Sobolev
12. Solutions of Hartree-Fock equations for Coulomb systems
13. Schrödinger semigroups
14. Some bifurcation theory for k-set contractions
15. Existence theory for the Hartree equation
16. An example in nonlinear functional analysis: The Hartree equation