Existence results for Kirchhoff type systems with singular nonlinearity
نویسندگان
چکیده
منابع مشابه
Existence results for a class of Kirchhoff type systems with Caffarelli-Kohn-Nirenberg exponents
In this article, we are interested in the existence of positive solutions for the following Kirchhoff type system −M1 (∫ Ω |x| −ap|∇u|p dx ) div(|x|−ap|∇u|p−2∇u) = λ|x|−(a+1)p+c1 (f(v)− 1 uα ) in Ω, −M2 (∫ Ω |x| −bq |∇v|q dx ) div(|x|−bq |∇v|q−2∇v) = λ|x|−(b+1)q+c2 (g(u)− 1 vβ ) in Ω, u = v = 0 on ∂Ω, (1) where Ω is a bounded smooth domain of R with 0 ∈ Ω, 1 < p, q < N , 0 ≤ a, b < N−p p , c...
متن کاملExistence and Uniform Decay for a Nonlinear Beam Equation with Nonlinearity of Kirchhoff Type in Domains with Moving Boundary
We prove the exponential decay in the case n > 2, as time goes to infinity, of regular solutions for the nonlinear beam equation with memory and weak damping utt + ∆2u− M(‖∇u‖L2(Ωt))∆u + ∫ t 0 g(t − s)∆u(s)ds + αut = 0 in ∧ Q in a noncylindrical domain of Rn+1 (n ≥ 1) under suitable hypothesis on the scalar functions M and g, and where α is a positive constant. We establish existence and unique...
متن کاملExistence results for singular integral equations of fredholm type
1. I N T R O D U C T I O N This paper discusses the existence of one (or indeed more) solutions to singular integral equations of the form y(t) = O(t) + k(t, s)[g(y(s)) + h(y(s))] ds, for t ~ [0, 1]; (1.1) here our nonlinearity g + h may be singular at y = 0. In [1], we established the existence of one nonnegative solution to (1.1) using the Leray-Schauder alternative. However, in [1], we had t...
متن کاملa new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot
abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...
15 صفحه اولExistence Results for a p(x)-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition
After the excellent work of Lions [2], problem (2) has received more attention; see [3–10] and references therein. The p(x)-Laplace operator arises from various phenomena, for instance, the image restoration [11], the electro-rheological fluids [12], and the thermoconvective flows of nonNewtonian fluids [13, 14].The study of thep(x)-Laplace operator is based on the theory of the generalized Leb...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2018
ISSN: 1232-9274
DOI: 10.7494/opmath.2018.38.2.187