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Continuum of positive solutions of superlinear fractional Laplacian problems

Author

Listed:
  • Maya Chhetri

    (The University of North Carolina at Greensboro)

  • Petr Girg

    (University of West Bohemia)

  • Elliott Hollifield

    (The University of North Carolina at Pembroke)

Abstract

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.

Suggested Citation

  • Maya Chhetri & Petr Girg & Elliott Hollifield, 2022. "Continuum of positive solutions of superlinear fractional Laplacian problems," Partial Differential Equations and Applications, Springer, vol. 3(1), pages 1-11, February.
    • Handle: RePEc:spr:pardea:v:3:y:2022:i:1:d:10.1007_s42985-021-00144-1
    DOI: 10.1007/s42985-021-00144-1
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