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Published in 2017 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-018-0122-0
Abstract: We develop a solution theory in Hölder spaces for a quasi-linear stochastic PDE driven by an additive noise. The key ingredients are two deterministic PDE lemmas which establish a priori Hölder bounds for a parabolic…
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Keywords:
quasi linear;
spdes divergence;
divergence form;
linear spdes ... See more keywords
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Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.02.038
Abstract: A pointwise bound for local weak solutions to the p-Laplace system is established in terms of data on the right-hand side in divergence form. The relevant bound involves a Havin-Maz'ya- Wulff potential of the datum,…
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Keywords:
divergence;
data divergence;
divergence form;
laplace system ... See more keywords
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Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.11.041
Abstract: Abstract The paper concerns regularities of solutions of elliptic equations in non-divergence form with directional homogenization. The main interest is to investigate the differences of regularities of datums that are needed and of solutions that…
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Keywords:
divergence form;
elliptic equations;
equations non;
homogenization ... See more keywords
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Published in 2017 at "Analysis and Applications"
DOI: 10.1142/s0219530515500116
Abstract: In this paper, by using variational methods, we study the following elliptic problem involving a general operator in divergence form of p-Laplacian type (p > 1). In our context, Ω is a bounded domain of…
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Keywords:
involving general;
divergence form;
general operator;
operator divergence ... See more keywords