On positive solutions for a fourth order asymptotically linear elliptic equation under Navier boundary conditions
Autor: | Maxwell L. Silva, Edcarlos D. Silva, Jose V. A. Goncalves |
---|---|
Rok vydání: | 2011 |
Předmět: |
Global bifurcation
media_common.quotation_subject Applied Mathematics Mathematical analysis Fourth order equations Topological degree theory Infinity Poincaré–Steklov operator Navier boundary conditions Nonlinear system Elliptic curve Elliptic partial differential equation Boundary value problem Bifurcation Analysis media_common Mathematics |
Zdroj: | Journal of Mathematical Analysis and Applications. 384(2):387-399 |
ISSN: | 0022-247X |
DOI: | 10.1016/j.jmaa.2011.05.071 |
Popis: | A result on existence of positive solution for a fourth order nonlinear elliptic equation under Navier boundary conditions is established. The nonlinear term involved is asymptotically linear both at the origin and at infinity. We exploit topological degree theory and global bifurcation. |
Databáze: | OpenAIRE |
Externí odkaz: |