An Elliptic Boundary Value Problem with Fractional Nonlinearity
نویسندگان
چکیده
We investigate the existence and uniqueness of solutions to second-order elliptic boundary value problems containing a power nonlinearity applied fractional Laplacian. detect critical separating from nonexistence regimes. For results, we make use particular class weighted Sobolev spaces compensate for singularities which are naturally built in problem.
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2021
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/20m1342641