A critical point approach to boundary value problems on the real line. (English) Zbl 1388.35063
The authors discuss the existence of at least one weak solution for the second order problems driven by the \(p\)-Laplacian and considered on the real line. Their approach is based on a variational principle due to Ricerri. Some recent results are extended and improved. Examples are presented to demonstrate the applications of the main results which are commented and explained in remarks.
Reviewer: Marek Galewski (Łódź)
MSC:
| 35J62 | Quasilinear elliptic equations |
| 35J20 | Variational methods for second-order elliptic equations |
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