A study of second order semilinear elliptic PDE involving measures
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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*Institute of Control Engineering, Silesian University of Technology, street Akademicka 16, 44-100 Gliwice, Poland, (e-mail: [email protected]) _____________________________________________________________________________________ Abstract: In the paper finite-dimensional dynamical control systems described by second order semilinear stationary ordinary differential state equations are consi...
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ژورنال
عنوان ژورنال: Filomat
سال: 2019
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1908489g