Results 51 to 60 of about 1,287 (117)
, 2018 We study a general nonlinear parabolic equation on a Lipschitz bounded domain in $\mathbb{R}^N$, \begin{equation*} \left\{\begin{array}{l l} \partial_t u-\mathrm{div} A(t,x,\nabla u)= f(t,x)&\text{in}\ \ \Omega_T,\\ u(t,x)=0 &\ \mathrm{ on} \ (0,T)\times\
Chlebicka, Iwona +2 more
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Representation on additive functionals of Musielak-Orlicz space of vector-valued functions [PDF]
Kodai Mathematical Journal, 1987 Let (T,\(\Sigma\),\(\mu)\) be a space with a complete, and \(\sigma\)-finite measure and X be a real separable Banach space. Moreover, let \(E_ M\) be a subspace of finite elements of non-solid Musielak-Orlicz space \(L_ M\) of functions with values in the space X.
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Multiplicity results for logarithmic double phase problems via Morse theory
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu +2 more
wiley +1 more source
Nonlinear parabolic problems in Musielak--Orlicz spaces [PDF]
, 2013 Our studies are directed to the existence of weak solutions to a parabolic problem containing a multi-valued term. The problem is formulated in the language of maximal monotone graphs.
Świerczewska-Gwiazda, Agnieszka
core
, 2018 We prove existence and uniqueness of renormalized solutions to general nonlinear parabolic equation in Musielak-Orlicz space avoiding growth restrictions. Namely, we consider \[\partial_t u-\mathrm{div} A(x,\nabla u)= f\in L^1(\Omega_T),\] on a Lipschitz
Chlebicka, Iwona +2 more
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On approximation by rational functions in Musielak–Orlicz spaces
Journal of Approximation TheoryThe authors extend the results from [\textit{W. M. Kozlowski}, J. Approx. Theory 264, Article ID 105535, 14 p. (2021; Zbl 1462.41015); Appl. Set-Valued Anal. Optim. 4, No. 3, 337--348 (2022; \url{doi:10.23952/asvao.4.2022.3.07})] to the problem of best approximation by rational functions in a larger class of Musielak-Orlicz spaces of real-valued ...
Kozlowski WM, Vinti G
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Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
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New Classes of Generalized Seminormed Difference Sequence Spaces
Abstract and Applied Analysis, 2014 The purpose of this paper is to introduce new classes of generalized seminormed difference sequence spaces defined by a Musielak-Orlicz function. We also study some topological properties and prove some inclusion relations between resulting sequence ...
M. Mursaleen +2 more
doaj +1 more source
Intrinsic square function characterizations of Musielak-Orlicz Hardy spaces
Transactions of the American Mathematical Society, 2014 Let φ : R n × [ 0 , ∞ ) → [ 0 , ∞ ) \varphi : \mathbb R^n\times [0,\infty )\to [0,\infty ) be such that φ ( x , ⋅ ) \varphi (x,\cdot ...
Liang, Yiyu, Yang, Dachun
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Minimizers of abstract generalized Orlicz‐bounded variation energy
Mathematical Methods in the Applied Sciences, Volume 47, Issue 15, Page 11795-11809, October 2024.A way to measure the lower growth rate of φ:Ω×[0,∞)→[0,∞)$$ \varphi :\Omega \times \left[0,\infty \right)\to \left[0,\infty \right) $$ is to require t↦φ(x,t)t−r$$ t\mapsto \varphi \left(x,t\right){t}^{-r} $$ to be increasing in (0,∞)$$ \left(0,\infty \right) $$.
Michela Eleuteri +2 more
wiley +1 more source