English

Multiple positive solutions to a fourth order boundary value problem

Classical Analysis and ODEs 2015-11-09 v1

Abstract

We study the existence and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnoselskii's compression-expansion theorem, and unilateral Harnack type inequalities.

Keywords

Cite

@article{arxiv.1511.02129,
  title  = {Multiple positive solutions to a fourth order boundary value problem},
  author = {Alberto Cabada and Radu Precup and Lorena Saavedra and Stepan Tersian},
  journal= {arXiv preprint arXiv:1511.02129},
  year   = {2015}
}
R2 v1 2026-06-22T11:39:07.720Z