Results 11 to 20 of about 1,929,125 (266)
Partial continuity for a class of elliptic systems with non-standard growth
Electronic Journal of Differential Equations, 2016 We study partial Holder continuity of weak solutions to elliptic systems with variable non-standard growth, which are related to the function $\Phi(x,t):=t^{p(x)}\log(e+t)$. We prove that weak solutions are Holder continuous for any Holder exponent,
Jihoon Ok
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Regularity for nonlocal problems with non-standard growth
Calculus of Variations and Partial Differential Equations, 2022 AbstractWe study robust regularity estimates for local minimizers of nonlocal functionals with non-standard growth of (p, q)-type and for weak solutions to a related class of nonlocal equations. The main results of this paper are local boundedness and Hölder continuity of minimizers and weak solutions.
Jamil Chaker +2 more
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Higher integrability for variational integrals with non-standard growth [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractWe consider autonomous integral functionals of the form $$\begin{aligned} {\mathcal {F}}[u]:=\int _\varOmega f(D u)\,dx \quad \text{ where } u:\varOmega \rightarrow {\mathbb {R}}^N, N\ge 1, \end{aligned}$$
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Non‐Standard Employment and Wage Growth in Australia
Australian Economic Review, 2020 AbstractUsing data from the Household, Income and Labour Dynamics in Australia (HILDA) Survey, and after restricting attention to employees, we observe an increase over time in the non‐standard employment share, all of which is concentrated in the period since 2009. Further, we find clear evidence that employees in non‐standard forms of employment have
Inga Laß, Mark Wooden
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Harnack inequality for nonlocal problems with non-standard growth
Mathematische Annalen, 2022 AbstractWe prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are local boundedness and a weak Harnack inequality for functions in a corresponding De Giorgi class. This paper builds upon a recent work on regularity estimates for such nonlocal problems
Jamil Chaker +2 more
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An optimal design problem with non-standard growth and no concentration effects [PDF]
Asymptotic Analysis, 2021 We obtain an integral representation for certain functionals arising in the context of optimal design and damage evolution problems under non-standard growth conditions and perimeter penalisation. Under our hypotheses, the integral representation includes a term which is absolutely continuous with respect to the Lebesgue measure and a perimeter term ...
Barroso, Ana Cristina, Zappale, Elvira
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Elliptic interpolation estimates for non-standard growth operators
Annales Academiae Scientiarum Fennicae Mathematica, 2014 Let \(\mu\) be a signed Radon measure defined on a bounded domain \(\Omega\) in \(\mathbb{R}^n\) (\(n\geq 2\)), with finite total mass. Moreover, let \(a:\Omega\times \mathbb{R}^n\rightarrow \mathbb{R}^n\) and \(\gamma:\Omega \rightarrow \mathbb{R}\) be two given functions.
BARONI, PAOLO, HABERMANN J.
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Hölder continuity of weak solution to a nonlinear problem with non-standard growth conditions
Boundary Value Problems, 2018 We study the Hölder continuity of weak solution u to an equation arising in the stationary motion of electrorheological fluids. To this end, we first obtain higher integrability of Du in our case by establishing a reverse Hölder inequality.
Zhong Tan, Jianfeng Zhou, Wenxuan Zheng
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Harnack inequality for a class of functionals with non-standard growth via De Giorgi’s method
Advances in Nonlinear Analysis, 2018 We study the regularity theory of quasi-minimizers of functionals with Lp(⋅)logL{L^{p(\,\cdot\,)}\log L}-growth. In particular, we prove the Harnack inequality and, in addition, the local boundedness and the Hölder continuity of the quasi-minimizers ...
Ok Jihoon
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Non-Linear Macroeconomic Models of Growth with Memory
Mathematics, 2020 In this article, two well-known standard models with continuous time, which are proposed by two Nobel laureates in economics, Robert M. Solow and Robert E. Lucas, are generalized.
Vasily E. Tarasov
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