Nonexistence of sign-changing solutions for some elliptic and parabolic inequalities |
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| Authors: | Evgeny Galakhov Olga Salieva |
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| Institution: | 1. S.M. Nikolskii Mathematical Institute, Peoples' Friendship University of Russia (RUDN University), Moscow, Russia;2. Department of Applied Mathematics, Moscow State Technological University “Stankin”, Moscow, Russia |
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| Abstract: | We establish nonexistence of nontrivial solutions (including sign-changing ones) for some partial differential inequalities of elliptic and parabolic type containing nonlinear terms that depend on the positive and negative part of the sought function in different ways. Systems of elliptic inequalities with similar structure are also considered. The proofs are based on the test function method. |
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| Keywords: | negative part nonexistence positive part sign-changing solutions |
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