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ABSTRACT
For quasilinear elliptic partial differential inequalities containing nonlinearities of the KPZ type, arising in various applications, we find sufficient conditions of the absence of global positive solutions, i.e. necessary conditions of the existence of global positive solutions.
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No potential conflict of interest was reported by the author.
Additional information
Funding
This paper was financially supported by the Ministry of Education and Science of the Russian Federation on the program to improve the competitiveness of Peoples' Friendship University (RUDN University) among the world's leading research and education centers in the 2016–2020, by the Russian Foundation for Basic Research [grant number 17-01-00401], and by the President Grant for the Government Support of the Leading Scientific Schools of the Russian Federation No. 4479.2014.1