English

Parameterized splitting theorems and bifurcations for potential operators, Part II: Applications to quasi-linear elliptic equations and systems

Analysis of PDEs 2021-11-12 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.2111.06134,
  title  = {Parameterized splitting theorems and bifurcations for potential operators, Part II: Applications to quasi-linear elliptic equations and systems},
  author = {Guangcun Lu},
  journal= {arXiv preprint arXiv:2111.06134},
  year   = {2021}
}

Comments

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