Results 41 to 50 of about 4,806,779 (356)
Regularity for minimizers for functionals of double phase with variable exponents [PDF]
Advances in Nonlinear Analysis, 2019 The functionals of double phase type H(u):=∫|Du|p+a(x)|Du|qdx, (q>p>1, a(x)≥0) $$\begin{array}{} \displaystyle {\cal H} (u):= \int \left(|Du|^{p} + a(x)|Du|^{q} \right) dx, ~~ ~~~(q \gt p \gt 1,~~a(x)\geq 0) \end{array}$$ are introduced in the epoch-
M. Ragusa, A. Tachikawa
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Martingale Hardy spaces with variable exponents [PDF]
Banach Journal of Mathematical Analysis, 2016 In this paper, we introduce Hardy spaces with variable exponents defined on a probability space and develop the martingale theory of variable Hardy spaces. We prove the weak type and strong type inequalities on Doob's maximal operator and get a $(1,p(\cdot),\infty)$-atomic decomposition for Hardy martingale spaces associated with conditional square ...
Jiao, Yong +3 more
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Coupled nonautonomous inclusion systems with spatially variable exponents
Electronic Journal of Qualitative Theory of Differential Equations, 2021 A family of nonautonomous coupled inclusions governed by $p(x)$-Laplacian operators with large diffusion is investigated. The existence of solutions and pullback attractors as well as the generation of a generalized process are established.
Peter Kloeden, Jacson Simsen
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Nonexistence of global solutions of a delayed wave equation with variable-exponents
Miskolc Mathematical Notes, 2021 . This work deals with a Petrovsky equation with delay term and variable exponents. Firstly, we establish the local existence result by the Faedo-Galerkin method. Later, we prove the blow-up of solutions in a finite time.
E. Pişkin, Hazal Yüksekkaya
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Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents
Open Mathematics, 2023 In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
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Martingale transforms on Banach function spaces
Electronic Research Archive, 2022 We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund.
Kwok-Pun Ho
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Reaction-diffusion coupled inclusions with variable exponents and large diffusion [PDF]
Opuscula Mathematica, 2021 This work concerns the study of asymptotic behavior of coupled systems of \(p(x)\)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor, we prove continuity of the solutions ...
Jacson Simsen +2 more
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Universal Singular Exponents in Catalytic Variable Equations [PDF]
Journal 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.
Marc Noy +3 more
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Solvability of Parametric Elliptic Systems with Variable Exponents
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass +1 more
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A Takeuchi-Yamada type equation with variable exponents
Boletim da Sociedade Paranaense de Matemática, 2017 We prove continuity of the flows and upper semicontinuity of global attractors for a Takeuchi-Yamada type equation with variable exponents.
Jacson Simsen +2 more
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