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홈 > 학술정보 >학술행사 > 세미나
2017 서울대학교 수리과학부 세미나

Title
On nonlinear elliptic equations beyond the natural duality pairing
Speaker
Miroslav Bulicek   (Charles University, Czech )
Date
2017-02-28 15:00:00
Host
SNU
Place
129-301
Abstract
We establish existence, uniqueness and optimal regularity results for very weak solutions to certain nonlinear elliptic boundary value problems.
We provide a unified approach that leads qualitatively to the same theory as that one available for linear elliptic problems with continuous coefficients, e.g. the Poisson equation.
The result is based on several novel tools that are of independent interest: local and global estimates for (non)linear elliptic systems in weighted Lebesgue spaces with Muckenhoupt weights, a generalization of the celebrated div{curl lemma for identification of a weak limit in border line spaces and the introduction of a Lipschitz approximation that is stable in weighted Sobolev spaces.
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