Positive solutions for semilinear fractional elliptic problems involving an inverse fractional operator
نویسندگان
چکیده
منابع مشابه
Semilinear fractional elliptic equations involving measures
We study the existence of weak solutions to (E) (−∆)u+g(u) = ν in a bounded regular domain Ω in R (N ≥ 2) which vanish in R \Ω, where (−∆) denotes the fractional Laplacian with α ∈ (0, 1), ν is a Radon measure and g is a nondecreasing function satisfying some extra hypotheses. When g satisfies a subcritical integrability condition, we prove the existence and uniqueness of a weak solution for pr...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2020
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2019.06.010