Results 41 to 50 of about 14,631 (194)
International Journal of Differential Equations, 2023 Nonlinear partial differential equations are considered as an essential tool for describing the behavior of many natural phenomena. The modeling of some phenomena requires to work in Sobolev spaces with constant exponent.
Ibrahime Konaté, Arouna Ouédraogo
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Hardy type inequality in variable Lebesgue spaces [PDF]
, 2008 We prove that in variable exponent spaces $L^{p(\cdot)}(\Omega)$, where $p(\cdot)$ satisfies the log-condition and $\Omega$ is a bounded domain in $\mathbf R^n$ with the property that $\mathbf R^n \backslash \bar{\Omega}$ has the cone property, the ...
Rafeiro, Humberto, Samko, Stefan
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Gagliardo–Nirenberg type inequality for variable exponent Lebesgue spaces
Journal of Mathematical Analysis and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kopaliani, Tengiz, Chelidze, George
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Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Journal of Function Spaces and Applications, 2006 Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that
Alexandre Almeida, Stefan Samko
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Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces [PDF]
, 2013 We consider local "complementary" generalized Morrey spaces M-c({x0})p(.).omega (Omega) in which the p-means of function are controlled over Omega \ B(x(0), r) instead of B(x(0), r), where Omega subset of R-n is a bounded open set, p(x) is a variable ...
Adams +37 more
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Journal 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
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Decompositions of Nakano norms by ODE techniques
, 2018 We study decompositions of Nakano type varying exponent Lebesgue norms and spaces. These function spaces are represented here in a natural way as tractable varying $\ell^p$ sums of projection bands. The main results involve embedding the varying Lebesgue
Talponen, Jarno
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Fractional Sobolev spaces with variable exponents and fractional $p(x)$-Laplacians
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces.
Uriel Kaufmann, Julio Rossi, Raul Vidal
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Cauchy problem for hyperbolic equations of third order with variable exponent of nonlinearity
Karpatsʹkì Matematičnì Publìkacìï, 2020 We investigate weak solutions of the Cauchy problem for the third order hyperbolic equations with variable exponent of the nonlinearity. The problem is considered in some classes of functions namely in Lebesgue spaces with variable exponents.
O.M. Buhrii +3 more
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Nonlocal hyperbolic Stokes system with variable exponent of nonlinearity
Математичні Студії, 2023 In this paper, we study the problem for a nonlinear hyperbolic Stokes system of the second order with an integral term. Sufficient conditions for the uniqueness of the weak solution of this problem are found in a bounded domain. The nonlinear term of the
O. M. Buhrii +2 more
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