scholarly journals Local boundedness of quasi-minimizers of integral functionals with variable exponent anisotropic growth and applications

2010 ◽  
Vol 17 (5) ◽  
pp. 619-637 ◽  
Author(s):  
Xianling Fan
Keyword(s):  
Variable Exponent ◽  
Integral Functionals ◽  
Anisotropic Growth ◽  
Local Boundedness

scholarly journals Local boundedness of minimizers of integral functionals with $(p,q)$--growth on metric spaces

2009 ◽  
Vol 40 (1) ◽  
pp. 127-138
Author(s):  
Outi Elina Maasalo ◽  
Bianca Stroffolini ◽  
Anna Verde
Keyword(s):  
Metric Spaces ◽  
Integral Functionals ◽  
Local Boundedness

scholarly journals Growth conditions and regularity, an optimal local boundedness result

2020 ◽  
pp. 2050029
Author(s):  
Jonas Hirsch ◽  
Mathias Schäffner
Keyword(s):  
Growth Conditions ◽  
Integral Functionals ◽  
Local Minimizers ◽  
Local Boundedness ◽  
Scalar Integral ◽  
Boundedness Result

We prove local boundedness of local minimizers of scalar integral functionals [Formula: see text], [Formula: see text] where the integrand satisfies [Formula: see text]-growth of the form [Formula: see text] under the optimal relation [Formula: see text].

Overcoming the Anisotropic Growth Limitations of Free‐Standing Single‐Crystal Halide Perovskite Films

2020 ◽  
Author(s):  
Yuan Chen ◽  
Haibo Zeng ◽  
Peipei Ma ◽  
Gaoyuan Chen ◽  
Jie Jian ◽  
...  
Keyword(s):  
Single Crystal ◽  
Anisotropic Growth ◽  
Free Standing ◽  
Halide Perovskite

scholarly journals Perpetual integral functionals of multidimensional stochastic processes

Stochastics ◽  
2021 ◽  
pp. 1-12
Author(s):  
Yuri Kondratiev ◽  
Yuliya Mishura ◽  
José L. da Silva
Keyword(s):  
Stochastic Processes ◽  
Integral Functionals

Periodic parabolic equation involving singular nonlinearity with variable exponent

2021 ◽  
Author(s):  
Abderrahim Charkaoui ◽  
Laila Taourirte ◽  
Nour Eddine Alaa
Keyword(s):  
Parabolic Equation ◽  
Variable Exponent ◽  
Singular Nonlinearity

scholarly journals Variable Anisotropic Hardy Spaces with Variable Exponents

2021 ◽  
Vol 9 (1) ◽  
pp. 65-89
Author(s):  
Zhenzhen Yang ◽  
Yajuan Yang ◽  
Jiawei Sun ◽  
Baode Li
Keyword(s):  
Hardy Spaces ◽  
Variable Exponent ◽  
Atomic Decomposition ◽  
Integral Operators ◽  
Moment Condition ◽  
Variable Exponents ◽  
Hölder Continuous ◽  
Multi Level ◽  
The Moment ◽  
Variable Anisotropy

Abstract Let p(·) : ℝ n → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝ n introduced by Dekel et al. [12]. In this article, we introduce highly geometric Hardy spaces Hp (·)(Θ) via the radial grand maximal function and then obtain its atomic decomposition, which generalizes that of Hardy spaces Hp (Θ) on ℝ n with pointwise variable anisotropy of Dekel et al. [16] and variable anisotropic Hardy spaces of Liu et al. [24]. As an application, we establish the boundedness of variable anisotropic singular integral operators from Hp (·)(Θ) to Lp (·)(ℝ n ) in general and from Hp (·)(Θ) to itself under the moment condition, which generalizes the previous work of Bownik et al. [6] on Hp (Θ).

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