Results 41 to 50 of about 1,287 (117)

New characterizations of Musielak-Orlicz-Sobolev spaces via sharp ball averaging functions [PDF]

Frontiers of Mathematics in China, 2019
22 pages ...
Yang, Sibei, Yang, Dachun, Yuan, Wen
openaire   +3 more sources

A double phase equation with convection

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We consider a double phase problem with a gradient dependent reaction (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a nontrivial, positive, bounded solution.
Zhenhai Liu, Nikolaos Papageorgiou
doaj   +1 more source

The Daugavet property in the Musielak-Orlicz spaces

, 2014
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core   +1 more source

Multiplicity Results of Solutions to the Double Phase Problems of Schrödinger–Kirchhoff Type with Concave–Convex Nonlinearities

Mathematics, 2023
The present paper is devoted to establishing several existence results for infinitely many solutions to Schrödinger–Kirchhoff-type double phase problems with concave–convex nonlinearities.
Yun-Ho Kim, Taek-Jun Jeong
doaj   +1 more source

Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces

, 2017
For any $p\in(0,\,1]$, let $H^{\Phi_p}(\mathbb{R}^n)$ be the Musielak-Orlicz Hardy space associated with the Musielak-Orlicz growth function $\Phi_p$, defined by setting, for any $x\in\mathbb{R}^n$ and $t\in[0,\,\infty)$, $$ \Phi_{p}(x,\,t):= \begin ...
Cao, Jun, Liu, Liguang, Yang, Dachun, Yuan, Wen   +3 more
core   +1 more source

Boundedness of intrinsic Littlewood--Paley functions on Musielak--Orlicz Morrey and Campanato spaces [PDF]

Banach Journal of Mathematical Analysis, 2014
47pages, Banach J. Math. Anal. (to appear)
Liang, Yiyu, Nakai, Eiichi, Yang, Dachun, Zhang, Junqiang   +3 more
openaire   +4 more sources

On the Distribution of Random variables corresponding to Musielak-Orlicz norms

, 2013
Given a normalized Orlicz function $M$ we provide an easy formula for a distribution such that, if $X$ is a random variable distributed accordingly and $X_1,...,X_n$ are independent copies of $X$, then the expected value of the p-norm of the vector ...
Alonso-Gutierrez, David, Christensen, Soeren, Passenbrunner, Markus, Prochno, Joscha   +3 more
core   +1 more source

P-convexity of Musielak Orlicz function spaces of Bochner type

Revista Matemática Complutense, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolwicz, Paweł, Płuciennik, Ryszard
openaire   +2 more sources

Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Axioms
Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
doaj   +1 more source

A new characterization of convex φ-functions with a parameter [PDF]

Opuscula Mathematica, 2015
We show that, under some additional assumptions, all projection operators onto latticially closed subsets of the Orlicz-Musielak space generated by \(\Phi\) are isotonic if and only if \(\Phi\) is convex with respect to its second variable. A dual result
Bartosz Micherda
doaj   +1 more source