Results 21 to 30 of about 27,183 (304)

Sign-Changing Solutions for Kirchhoff-Type Problems with Variable Exponent

open access: yesJournal of Mathematics, 2023
This paper is devoted to study a class of Kirchhoff-type problems with variable exponent. By means of the perturbation technique, the method of invariant sets for the descending flow and necessary estimates and the existence of infinitely many sign ...
Changmu Chu, Ying Yu
doaj   +1 more source

Universal Singular Exponents in Catalytic Variable Equations [PDF]

open access: yesJournal of Combinatorial Theory, Series A, 2021
Catalytic equations appear in several combinatorial applications, most notably in the numeration of lattice path and in the enumeration of planar maps. The main purpose of this paper is to show that the asymptotic estimate for the coefficients of the solutions of (so-called) positive catalytic equations has a universal asymptotic behavior.
Drmota, Michael   +2 more
openaire   +5 more sources

Nonlocal eigenvalue problems with variable exponent

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
doaj   +1 more source

Capacitary characterization of variable exponent Sobolev trace spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
Let Ω ⊂ ℝn be an open set. We give a new characterization of zero trace functions f∈𝒞(Ω¯)∩W01,p(.)(Ω)f \in \mathcal{C}\left( {\bar \Omega } \right) \cap W_0^{1,p\left( . \right)}\left( \Omega \right).
Berghout Mohamed
doaj   +1 more source

Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

open access: yesJournal of Function Spaces, 2019
In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·)
Xukui Shao, Shuangping Tao
doaj   +1 more source

Delayed wave equation with logarithmic variable-exponent nonlinearity

open access: yesElectronic Research Archive, 2023
A delayed nonlinear wave equation with variable exponents of logarithmic type is discussed in this paper. In the presence of the logarithmic nonlinear source, we established a global existence result under sufficient conditions on the initial data only ...
Mohammad Kafini , Maher Noor
doaj   +1 more source

Infinitely Many Periodic Solutions for Variable Exponent Systems

open access: yesJournal of Inequalities and Applications, 2009
We mainly consider the system −Δp(x)u=f(v)+h(u) in ℝ, −Δq(x)v=g(u)+ω(v) in ℝ, where 1<p(x),q(x)∈C1(ℝ) are periodic functions, and −Δp(x)u=−(|u′|p(x)− ...
Xiaoli Guo, Mingxin Lu, Qihu Zhang
doaj   +2 more sources

Boundedness of some operators on grand Herz spaces with variable exponent

open access: yesAIMS Mathematics, 2023
Our aim in this paper is to prove boundedness of an intrinsic square function and higher order commutators of fractional integrals on grand Herz spaces with variable exponent $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying ...
Mehvish Sultan   +3 more
doaj   +1 more source

Lorentz spaces with variable exponents [PDF]

open access: yesMathematische Nachrichten, 2013
We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings and the identity . We also show that these spaces arise through real interpolation between and . Furthermore, we answer in a negative way the question posed in whether the Marcinkiewicz interpolation theorem holds in the ...
Kempka, Henning, Vybíral, Jan
openaire   +3 more sources

Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels

open access: yesJournal of Function Spaces, 2017
We define the new central Morrey space with variable exponent and investigate its relation to the Morrey-Herz spaces with variable exponent. As applications, we obtain the boundedness of the homogeneous fractional integral operator TΩ,σ and its ...
Hongbin Wang, Jiajia Wang, Zunwei Fu
doaj   +1 more source

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