Continuum of Positive Solutions of Superlinear Fractional Laplacian Problems
SN Partial Differential Equations and Applications(2022)
摘要
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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关键词
Fractional Laplacian,Superlinear,Positive weak solution,Bifurcation from infinity,35J60,35J61,35R11
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