Continuum of positive solutions of superlinear fractional Laplacian problems

Continuum of positive solutions of superlinear fractional Laplacian problems

We discuss the existence of a continuum of positive weak solutions to a fractional Laplacian problem involving superlinear reaction term when a bifurcation parameter is small. We employ degree theory combined with a re-scaling argument, boundary analysis, and a continuation theorem to obtain our res...

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Veröffentlicht in:SN partial differential equations and applications 2022-02, Vol.3 (1), Article 12
Hauptverfasser: Chhetri, Maya, Girg, Petr, Hollifield, Elliott
Format: Artikel
Sprache:eng
Schlagworte:
1. Theory of PDEs
Analysis
Mathematical and Computational Biology
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Paper
Partial Differential Equations
Theoretical
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Zusammenfassung:We discuss the existence of a continuum of positive weak solutions to a fractional Laplacian problem involving superlinear reaction term when a bifurcation parameter is small. We employ degree theory combined with a re-scaling argument, boundary analysis, and a continuation theorem to obtain our result.
ISSN:2662-2963
2662-2971
DOI:10.1007/s42985-021-00144-1