Abstract
This paper deals with the bifurcation results of (weak) solutions for the Kirchhoff fractional p-Laplacian equation (Formula presented.) where (Formula presented.) denotes the fractional operator, with sp = N, and the nonlinearity f exhibits the singular exponential growth at infinity. Moreover, the existence of unbounded components of (weak) solutions emanating from the trivial solution, is treated via the fix point result and the global bifurcation theorem due to Rabinowitz. Finally, the main feature of this paper consists of the existence of positive solutions to the above equation for λ small enough.
| Original language | English |
|---|---|
| Pages (from-to) | 885-902 |
| Number of pages | 18 |
| Journal | Complex Variables and Elliptic Equations |
| Volume | 70 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2025 |
| Externally published | Yes |
Keywords
- 35B32
- 35R11
- 45G05
- 47G20
- Fractional Kirchhoff equation
- global bifurcation
- nonlinear eigenvalue problem
- singular exponent nonlinearity
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