Parameterized splitting theorems and bifurcations for potential operators, Part II: Applications to quasi-linear elliptic equations and systems
arXiv:2111.06134 · doi:10.3934/dcds.2021155
Abstract
This is the second part of a series devoting to the generalizations and applications of common theorems in variational bifurcation theory. Using abstract theorems in the first part we obtain many new bifurcation results for quasi-linear elliptic boundary value problems of higher order.
53 pages. Revision and extension for Part II (Applications to bifurcations for quasi-linear elliptic systems) in arXiv:1712.03479v2[math.FA]. Discrete Contin. Dyn. Syst., (2021) online. Second one of a series of papers about authors bifurcation research program. arXiv admin note: text overlap with arXiv:1712.03479
References in corpus (5)
- Delaunay-type hypersurfaces in cohomogeneity one manifolds
- Equivariant bifurcation in geometric variational problems
- Parameterized splitting theorems and bifurcations for potential operators
- Morse theory methods for quasi-linear elliptic systems of higher order
- Parameterized splitting theorems and bifurcations for potential operators, Part I: Abstract theory