Existence of positive solutions for a singular elliptic problem with critical exponent and measure data
نویسندگان
چکیده
We prove the existence of a positive SOLA (Solutions Obtained as Limits Approximations) to following PDE involving fractional power Laplacian ( ? ? ) s u = 1 ? + ? 2 ? ? in ? , > 0 ? N ? . Here, is bounded domain ?N, s?(0,1), 2s<N, ?,??(0,1), 2s?=2N?N?2s critical Sobolev exponent and nonnegative Radon measure ?.
منابع مشابه
Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2021
ISSN: ['0035-7596', '1945-3795']
DOI: https://doi.org/10.1216/rmj.2021.51.973