Continuum of positive solutions of superlinear fractional Laplacian problems

Maya Chhetri (), Petr Girg () and Elliott Hollifield ()
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Maya Chhetri: The University of North Carolina at Greensboro
Petr Girg: University of West Bohemia
Elliott Hollifield: The University of North Carolina at Pembroke

Partial Differential Equations and Applications, 2022, vol. 3, issue 1, 1-11

Abstract: 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.

Keywords: Fractional Laplacian; Superlinear; Positive weak solution; Bifurcation from infinity; 35J60; 35J61; 35R11 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-021-00144-1

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