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Variable exponent Campanato spaces

Journal of Mathematical Sciences, 2010
Let \((X,d,\mu)\) be a quasimetric measure space with distance function \(d\) satisfying the quasitriangle inequality \(d(x,y) 0\). If \(p\) is a measurable function on \(X\) with \(p_-=\text{ess\,inf}\{p(x)\}\), \(p_+= \text{ess\,sup}\{p(x)\}\), such that \(1\leq p_-\leq p(.)\leq p_+< \infty\), let \(I^{p(.)}(f/\lambda)\) and \(\| f\|_{p(.)}\) be ...
Rafeiro, H., Samko, S.
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Variable exponent Bergman spaces

Nonlinear Analysis: Theory, Methods & Applications, 2014
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Gerardo R. Chacón, Humberto Rafeiro
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Timoshenko beams with variable‐exponent nonlinearity

Mathematical Methods in the Applied Sciences, 2023
In this paper, we consider the following Timoshenko system with a nonlinear feedback having a variable exponent and a time‐dependent coefficient . We establish, for the first time as per our knowledge, explicit energy decay rates for this system depending on both and .
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Variable Exponent Herz Spaces

Mediterranean Journal of Mathematics, 2013
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A supercritical variable exponent problem

Journal of Mathematical Analysis and Applications, 2022
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Aghajani, A., Cowan, C.
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Variable Exponent Lebesgue Spaces

2011
In this chapter we define Lebesgue spaces with variable exponents, \(L^{p(.)}\). They differ from classical \(L^p\) spaces in that the exponent p is not constant but a function from Ω to \([1,\infty]\). The spaces \(L^{p(.)}\) fit into the framework of Musielak–Orlicz spaces and are therefore also semimodular spaces.
Lars Diening   +3 more
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Embedding Theorems between Variable-Exponent Morrey Spaces

Mathematical Notes, 2019
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Bandaliyev R.A., Guliyev V.S.
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