Nonexistence of nonnegative entire solutions of semilinear elliptic systems

We consider the second-order semilinear elliptic system (Formula presented.) (Formula presented.) where (Formula presented.) (Formula presented.) α and β are positive constants, p and q are nonnegative continuous functions. We prove that nontrivial nonnegative entire solutions fail to exist if the functions p and q are of slow decay. © 2020 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Gladkov A. 1, 2 , Sergeenko S.3
Journal
Complex Variables and Elliptic Equations
Language
English
Status
Published
Link
External link
DOI
10.1080/17476933.2020.1816983
Year
2020
Organizations
  • 1 Department of Mechanics and Mathematics, Belarusian State University, Minsk, Belarus
  • 2 Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 3 Department of Mathematics and Information Technologies, Vitebsk State University named after P.M. Masherov, Vitebsk, Belarus
Keywords
31A05; 35A05; 35A08; 35J08; 35J25; entire solutions; nonexistence; Semilinear elliptic system
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72901/
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