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Nonexistence of sign-changing solutions for some elliptic and parabolic inequalities
  • Evgeny Galakhov,
  • Olga Salieva
Evgeny Galakhov
Rossijskij universitet druzby narodov
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Olga Salieva
Moscow State University of Technology STANKIN
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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.

Peer review status:ACCEPTED

16 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
22 Feb 2020Submission Checks Completed
22 Feb 2020Assigned to Editor
22 Feb 2020Reviewer(s) Assigned
25 Mar 2020Review(s) Completed, Editorial Evaluation Pending
26 Mar 2020Editorial Decision: Revise Minor
29 Mar 20201st Revision Received
29 Mar 2020Submission Checks Completed
29 Mar 2020Assigned to Editor
29 Mar 2020Editorial Decision: Accept