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.
| Original language | English |
|---|---|
| Pages (from-to) | 5-42 |
| Number of pages | 38 |
| Journal | Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2018 |
Keywords
- asymptotic-behavior
- boundary-value problem
- diffusion
- equation
- Existence
- Kirchhoff-type elliptic problems
- r-3
- Rabinowitz-type global bifurcation theory
- singularity
- Sub-supersolution method
- Uniqueness
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