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Nonexistence results for some nonlinear nonlocal elliptic inequalities with variable exponents
Author(s) -
Jleli Mohamed,
Kirane Mokhtar,
Samet Bessem
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3936
Subject(s) - mathematics , laplace transform , nonlinear system , variable (mathematics) , operator (biology) , inequality , mathematical analysis , laplace operator , pure mathematics , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene
We provide sufficient conditions for the nonexistence of nontrivial nonnegative solutions for some nonlinear elliptic inequalities involving the fractional Laplace operator and variable exponents. The used techniques are based on the test function method. Copyright © 2016 John Wiley & Sons, Ltd.