Results 121 to 130 of about 15,752 (256)

On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations [PDF]

, 2023
Mohamed M. A. Metwali
openalex   +1 more source

Gagliardo–Nirenberg type inequality for variable exponent Lebesgue spaces

Journal of Mathematical Analysis and Applications, 2009
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Kopaliani, Tengiz, Chelidze, George
openaire   +2 more sources

Hölder Quasicontinuity in Variable Exponent Sobolev Spaces

Journal of Inequalities and Applications, 2007
We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set.
Katja Tuhkanen, Juha Kinnunen, Petteri Harjulehto   +2 more
doaj   +1 more source

Approximation properties of Bernstein singular integrals in variable exponent Lebesgue spaces on the real axis [PDF]

, 2012
Ramazan Akgün
openalex   +1 more source

Existence of solutions for $p(x)$-Laplacian equations

Electronic Journal of Qualitative Theory of Differential Equations, 2010
We discuss the problem \begin{equation*} \left\{ \begin{array}{ll} -\operatorname{div}\left( \left\vert \nabla u\right\vert ^{p(x)-2}\nabla u\right) =\lambda (a\left( x\right) \left\vert u\right\vert ^{q(x)-2}u+b(x)\left\vert u\right\vert ^{h(x)-2}u ...
Rabil Ayazoglu (Mashiyev), B. Cekic, O. M. Buhrii   +2 more
doaj   +1 more source

On the dual of variable Lebesgue spaces with unbounded exponent

, 2019
We study the dual space of the variable Lebesgue space $\Lp$ with unbounded exponent function $\pp$ and provide an answer to a question posed in~[fiorenza-cruzuribe2013]. Our approach is to decompose the dual into a topological direct sum of Banach spaces.
Amenta, Alex, Conde-Alonso, Jose M., Cruz-Uribe, David, Ocariz, Jesus   +3 more
openaire   +2 more sources

The Variation of Constants Formula in Lebesgue Spaces with Variable Exponents

Symmetry
This study looks closely into the analysis of the variation of constants formula given by Φ(t)=S(t)Φ(0)+∫0tS(t−σ)F(σ,Φ(σ))dσ, for t∈[0,T],T>0, within the context of modular function spaces Lρ. Additionally, this research explores practical applications of the variation of constants formula in variable exponent Lebesgue spaces Lp(·).
openaire   +1 more source

The multilinear commutators of Hardy operator on variable central Morrey spaces(变指数中心Morrey空间的多线性Hardy算子交换子)

Zhejiang Daxue xuebao. Lixue ban
With the help of the boundedness of the n-dimensional fractional Hardy operator and its adjoint operator on Lebesgue space with variable exponent, by applying hierarchical decomposition of function and real variable techniques, we obtain the boundedness ...
辛银萍(XIN Yinping)
doaj   +1 more source

Nonlinear eigenvalue problems in Sobolev spaces with variable exponent

Journal of Function Spaces and Applications, 2006
We study the boundary value problem -div⁡((|∇u|p1(x)-2+|∇u|p2(x)-2)∇u)=f(x,u) in Ω, u=0 on ∂Ω, where Ω is a smooth bounded domain in ℝN. We focus on the cases when f±(x,  u)=±(-λ|u|m(x)-2u+|u|q(x)-2u), where m(x)≔max⁡⁡{p1(x),p2(x)}
Teodora-Liliana Dinu
doaj   +1 more source

Joint Detection and Communication over Type-Sensitive Networks. [PDF]

Entropy (Basel), 2023
Shaska J, Mitra U.
europepmc   +1 more source