Sharp gradient estimates for quasilinear elliptic equations with $p(x)$ growth on nonsmooth domains
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2017.10.012
Abstract: In this paper, we study quasilinear elliptic equations with the nonlinearity modelled after the p(x) p ( x ) -Laplacian on nonsmooth domains and obtain sharp Calderon–Zygmund type estimates in the variable exponent setting. In… read more here.
Keywords: gradient estimates; estimates quasilinear; sharp gradient; nonsmooth domains ... See more keywords
Limit theorems and the support of SDES with oblique reflections on nonsmooth domains
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.004
Abstract: Abstract In this paper we consider the Wong–Zakai type approximation and the support problem of stochastic differential equations with oblique reflections in nonsmooth domains satisfying conditions introduced by Dupuis and Ishii [4] . We first… read more here.
Keywords: nonsmooth domains; limit theorems; oblique reflections; reflections nonsmooth ... See more keywords
Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/8042
Abstract: We consider second-order elliptic equations in nondivergence form with oblique derivative boundary conditions. We show that any strong solutions to such problems are twice continuously differentiable up to the boundary when the boundary can be… read more here.
Keywords: problem nonsmooth; solutions oblique; nonsmooth domains; oblique derivative ... See more keywords