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This article is cited in 2 scientific papers (total in 2 papers)
On some partial differential inequalities with gradient terms
E. I. Galakhov Peoples Friendship University of Russia, Moscow, Russia
Abstract:
Using a modification of the nonlinear capacity method, we obtain necessary conditions for the solvability of some nonlinear partial differential equations and inequalities containing the polyharmonic operator and terms that depend on the norm of the gradient of the solution, both in the entire space and in bounded domains; in the latter case the coefficients of the inequality are allowed to have singularities.
Received in December 2012
Citation:
E. I. Galakhov, “On some partial differential inequalities with gradient terms”, Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Trudy Mat. Inst. Steklova, 283, MAIK Nauka/Interperiodica, Moscow, 2013, 40–48; Proc. Steklov Inst. Math., 283 (2013), 35–43
Linking options:
https://www.mathnet.ru/eng/tm3503https://doi.org/10.1134/S0371968513040043 https://www.mathnet.ru/eng/tm/v283/p40
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Abstract page: | 218 | Full-text PDF : | 52 | References: | 36 |
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