Nonnegative weak solution for a periodic parabolic equation with bounded Radon measure

The purpose of this work is to study a class of periodic parabolic equations having a critical growth nonlinearity with respect to the gradient and bounded Radon measure. By the main of the sub- and super-solution method, we employ some new technics to prove the existence of a nonnegative weak perio...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2022-04, Vol.71 (1), p.459-467
Main Authors: Charkaoui, Abderrahim, Alaa, Nour Eddine
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Radon
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Summary:The purpose of this work is to study a class of periodic parabolic equations having a critical growth nonlinearity with respect to the gradient and bounded Radon measure. By the main of the sub- and super-solution method, we employ some new technics to prove the existence of a nonnegative weak periodic solution to the studied problems.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-021-00614-w