Free Fine Regularity of Solutions of Elliptic Partial Differential Equations (Mathematical Surveys and Monographs)

[Download.CU2k] Fine Regularity of Solutions of Elliptic Partial Differential Equations (Mathematical Surveys and Monographs)

[Download.CU2k] Fine Regularity of Solutions of Elliptic Partial Differential Equations (Mathematical Surveys and Monographs)

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Book Details :
Published on: 1997-07-29
Released on:
Original language: English

The primary objective of this book is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second-order elliptic quasilinear equations in divergence form. The structure of these equations allows coefficients in certain $L^{p}$ spaces, and thus it is known from classical results that weak solutions are locally Holder continuous in the interior. Here it is shown that weak solutions are continuous at the boundary if and only if a Wiener-type condition is satisfied. This condition reduces to the celebrated Wiener criterion in the case of harmonic functions. The work that accompanies this analysis includes the ""fine"" analysis of Sobolev spaces and a development of the associated nonlinear potential theory. The term ""fine"" refers to a topology of $\mathbf R^{n}$ which is induced by the Wiener condition. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The regularity of the solution is given in terms involving the Wiener-type condition and the fine topology. The case of differential operators with a differentiable structure and $\mathcal C^{1,\alpha}$ obstacles is also developed. The book concludes with a chapter devoted to the existence theory, thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions. Wikipedia:Requested articles/Mathematics - Wikipedia Add your request in the most appropriate place below. Before adding a request please: for existing articles on the same subject. If an article exists but not at the ... web.mit.edu / jik/src/Attic/kerberos_ password - . .mn 0 01 05_1 1 10 100 10th 11 11_d0003 12 13 14 141a 143b 15 16 17 17igp 18 19 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 ... Le Live Marseille : aller dans les plus grandes soires ... Retrouvez toutes les discothque Marseille et se retrouver dans les plus grandes soires en discothque Marseille. [ihtik.lib.ru] _ [ihtik.lib.ru] _. : 14292 : 573 GB; ; d:\_ihtik.lib.ru\2012.03 ...
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