In the recent paper W. Shen and T. He and G. Dai and X. Han established unilateral global bifurcation result for a class of nonlinear fourth-order eigenvalue problems. They show the existence of two families of unbounded continua of nontrivial solutions of these problems bifurcating from the points and intervals of the line trivial solutions, corresponding to the positive or negative eigenvalues of the linear problem. As applications of this result, these authors study the existence of nodal solutions for a class of nonlinear fourth-order eigenvalue problems with sign-changing weight. Moreover, they also establish the Sturm type comparison theorem for fourth-order problems with sign-changing weight. In the present comment, we show that these papers of above authors contain serious errors and, therefore, unfortunately, the results of these works are not true. Note also that the authors used the results of the recent work by G. Dai which also contain gaps.
from #AlexandrosSfakianakis via Alexandros G.Sfakianakis on Inoreader http://ift.tt/2oYiNwI
via IFTTT
Εγγραφή σε:
Σχόλια ανάρτησης (Atom)
Δημοφιλείς αναρτήσεις
-
Publication date: Available online 4 January 2018 Source: European Journal of Radiology Author(s): Peiyao Zhang, Jing Wang, Qin Xu, Zhen...
-
BACKGROUND AND PURPOSE: Lesion load is a common biomarker in multiple sclerosis, yet it has historically shown modest association with cl...
-
Does CBD Oil Lower Blood Pressure? This article was originally published at SundayScaries." Madeline Taylor POSTED ON January 13, 20...
-
Despite widespread journal endorsement of reporting guidelines, the poor reproducibility of preclinical research is increasingly under debat...
-
The benefit of the breastfeeding has been well-established. In comparison to partial breast feeding, exclusive breastfeeding has even more b...
-
A report of the Cold Spring Harbor Laboratory/Wellcome Trust Meeting on Engineering Principles in Biology, Cambridge, UK, 14-16 October 2009...
-
Abstract We report here a microscopic tight-binding theoretical study of the dynamic dielectric response of graphene-on-polarizable substr...
-
Volumetry measurement of lung nodules is gaining clinical acceptance but still... Read more on AuntMinnieEurope.com Related Reading: Ul...
-
Background Hyperthyroidism is associated with increased thrombotic risk. As contact system activation through formation of neutrophil extrac...
Δεν υπάρχουν σχόλια:
Δημοσίευση σχολίου