Positive solutions for nonlinear fractional Laplacian problems
نویسندگان
چکیده
We consider a class of nonlinear fractional Laplacian problems satisfying the homogeneous Dirichlet condition on exterior bounded domain. prove existence positive weak solution for classes nonlinearities which are either sublinear or asymptotically linear at infinity. use method sub-and-supersolutions to establish results. also provide numerical bifurcation diagrams, corresponding theoretical results, using finite element in one dimension. See https://ejde.math.txstate.edu/special/02/h1/abstr.html
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ژورنال
عنوان ژورنال: Electronic Journal of Differential Equations
سال: 2023
ISSN: ['1072-6691']
DOI: https://doi.org/10.58997/ejde.sp.02.h1