Quasi-linear SPDEs in divergence form
Sign Up to like & getrecommendations! 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… read more here.
Keywords: quasi linear; spdes divergence; divergence form; linear spdes ... See more keywords
Potential estimates for the p -Laplace system with data in divergence form
Sign Up to like & getrecommendations! 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,… read more here.
Keywords: divergence; data divergence; divergence form; laplace system ... See more keywords
Directional homogenization of elliptic equations in non-divergence form
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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… read more here.
Keywords: divergence form; elliptic equations; equations non; homogenization ... See more keywords
Unique continuation at the boundary for divergence form elliptic equations on quasiconvex domains
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DOI: 10.1063/5.0227056
Abstract: Let Ω⊂Rd be a quasiconvex Lipschitz domain, and let A(x) be a d × d uniformly elliptic, symmetric matrix with Lipschitz coefficients. Assume a nontrivial function u solves −∇ · (A(x)∇u) = 0 in Ω, and u… read more here.
Keywords: divergence form; form elliptic; unique continuation; boundary divergence ... See more keywords
Competition phenomena for elliptic equations involving a general operator in divergence form
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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… read more here.
Keywords: involving general; divergence form; general operator; operator divergence ... See more keywords