Electron. J. Differential Equations, Vol. 2017 (2017), No. 30, pp. 1-10.

Nonexistence of solutions to some inequalities and systems with singular coefficients on the boundary

Liudmila Uvarova, Olga Salieva, Evgeny Galakhov

Abstract:
We obtain sufficient conditions for the nonexistence of positive solutions to some elliptic inequalities and systems containing the p-Laplace operators and coefficients possessing singularities on the boundary.

Submitted August 6, 2016. Published January 27, 2017.
Math Subject Classifications: 35J62, 35J70, 35J75, 35B44.
Key Words: Elliptic inequalities; p-Laplace; nonexistence; singular coefficients.

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Liudmila Uvarova
Moscow State Technological University "Stankin"
Russia
email: uvar11@yandex.ru
Olga Salieva
Moscow State Technological University "Stankin"
Russia
email: olga.a.salieva@gmail.com
Evgeny Galakhov
Peoples' Friendship University of Russia
Moscow, Russia
email: galakhov@rambler.ru

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