Reverse Poincaré-type inequalities for the weak solution of system of partial differential inequalities

DOI10.1186/s13660-016-1204-zzbMath1382.31003OpenAlexW2533856702WikidataQ59459632 ScholiaQ59459632MaRDI QIDQ338873

Muhammad Shoaib Saleem, Hamood Ur Rehman, Abid Hussain, Abdul Rauf Nizami, Josip E. Pečarić

Publication date: 7 November 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1204-z

zbMATH Keywords

weak solutionsuperharmonic functionssubharmonic functionssystem of differential inequalities

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• The weighted square integral inequalities for the first derivative of the function of a real variable
• Elliptic partial differential equations of second order
• Reverse Poincaré-type inequalities for the difference of superharmonic functions

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