An elliptic semilinear equation with source term involving boundary measures: the subcritical case
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: Revista Matemática Iberoamericana
سال: 2000
ISSN: 0213-2230
DOI: 10.4171/rmi/281