S-shaped bifurcation diagrams in exterior domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43954269" target="_blank" >RIV/49777513:23520/19:43954269 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/journal/11117/23/5" target="_blank" >https://link.springer.com/journal/11117/23/5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11117-019-00654-8" target="_blank" >10.1007/s11117-019-00654-8</a>

Result language
angličtina
Original language name
S-shaped bifurcation diagrams in exterior domains
Original language description
We study a nonlinear eigenvalue problem on the exterior to a simply connected bounded domain inRN containing the origin.We consider positive weak solutions satisfying Dirichlet boundary conditions on the compact boundary and decaying to zero at infinity. We discuss multiplicity and uniqueness results of solutions with respect to a bifurcation parameter and conjecture an S-shaped bifurcation diagram for positive reaction terms which are singular at the origin and sublinear at infinity. As a by-product, on regions exterior to a ball with radially symmetric weight functions, we obtain radial symmetry of solutions when uniqueness holds.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-03253S" target="_blank" >GA18-03253S: Differential equations with special types of nonlinearities</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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