The first nontrivial curve in the fučík spectrum of the dirichlet laplacian on the ball consists of nonradial eigenvalues

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43898593" target="_blank" >RIV/49777513:23520/11:43898593 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1186/1687-2770-2011-27" target="_blank" >http://dx.doi.org/10.1186/1687-2770-2011-27</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-2770-2011-27" target="_blank" >10.1186/1687-2770-2011-27</a>

Result language
angličtina
Original language name
The first nontrivial curve in the fučík spectrum of the dirichlet laplacian on the ball consists of nonradial eigenvalues
Original language description
It is well-known that the second eigenvalue lambda2 of the Dirichlet Laplacian on the ball is not radial. Recently, Bartsch, Weth and Willem proved that the same conclusion holds true for the so-called nontrivial (sign changing) Fučík eigenvalues on thefirst curve of the Fučík spectrum which are close to the point (lambda2, lambda2). We show that the same conclusion is true in dimensions 2 and 3 without the last restriction.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)