Maya Chhetri, Nsoki Mavinga, Rosa Pardo
We consider a sublinear perturbation of an elliptic eigenvalue problem with Neumann boundary condition. We give sufficient conditions on the nonlinear perturbation which guarantee that the unbounded continuum, bifurcating from infinity at the first eigenvalue, contains an unbounded sequence of turning points as well as an unbounded sequence of resonant solutions. We prove our result by using bifurcation theory combined with a careful analysis of the oscillatory behavior of the continuum near the bifurcation point.
Published January 3, 2022.
Math Subject Classifications: 35B05, 35B40, 35J25.
Key Words: Bifurcation from infinity; oscillatory nonlinearity; turning points; Neumann boundary condition; resonant solutions.
Show me the PDF file (325 K), TEX file for this article.
| Maya Chhetri |
Greensboro, NC, USA
| Nsoki Mavinga |
Swarthmore, PA, USA
| Rosa Pardo |
Universidad Complutense de Madrid
Return to the table of contents
for this special issue.
Return to the EJDE web page