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The existence of positive solutions for Kirchhoff-type problems vai the sub-supersolution method.
- Source :
-
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica . 2018, Vol. 26 Issue 1, p5-42. 38p. - Publication Year :
- 2018
-
Abstract
- In this paper we discuss the existence of a solution between well-ordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of positive solutions for Kirchhoff-type problems when the nonlinearity is singular or sign-changing. Moreover, we obtain some necessary and sufficient conditions for the existence of positive solutions for the problem when N = 1. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 12241784
- Volume :
- 26
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
- Publication Type :
- Academic Journal
- Accession number :
- 129268793
- Full Text :
- https://doi.org/10.2478/auom-2018-0001