Continuum of positive solutions of superlinear fractional Laplacian problems
Partial Differential Equations and Applications(2022)
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.
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Key words
Fractional Laplacian, Superlinear, Positive weak solution, Bifurcation from infinity, 35J60, 35J61, 35R11
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