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This article is cited in 2 scientific papers (total in 2 papers)
Elliptic and parabolic inequalities with point singularities on the boundary
E. I. Galakhov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
It is shown that various quasilinear elliptic and parabolic differential inequalities and systems of such inequalities
defined on bounded domains, and which have point singularities on the boundary do not have solutions. The method of nonlinear capacity is used in the proof. Examples show that the conditions obtained by this method
cannot be improved in the class of problems under consideration.
Bibliography: 14 titles.
Keywords:
quasilinear equations, nonexistence of solutions, boundary singularities.
Received: 29.10.2008 and 08.05.2009
Citation:
E. I. Galakhov, “Elliptic and parabolic inequalities with point singularities on the boundary”, Mat. Sb., 200:10 (2009), 3–24; Sb. Math., 200:10 (2009), 1417–1437
Linking options:
https://www.mathnet.ru/eng/sm7477https://doi.org/10.1070/SM2009v200n10ABEH004043 https://www.mathnet.ru/eng/sm/v200/i10/p3
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Abstract page: | 435 | Russian version PDF: | 180 | English version PDF: | 1 | References: | 44 | First page: | 11 |
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