A generalized nonlinear Picone identity for the \(p\)-biharmonic operator and its applications

DOI10.1186/s13660-019-2008-8zbMath1499.31004OpenAlexW2925773902WikidataQ128277825 ScholiaQ128277825MaRDI QIDQ2067772

Tingfu Feng

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2008-8

zbMATH Keywords

Hardy-Rellich type inequalityLiouville's theorem\(p\)-biharmonic operatorSturmian comparison principlegeneralized nonlinear Picone identity

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items

Generalised nonlinear Picone identities for \(p\)-sub-Laplacians and \(p\)-biharmonic operators and applications

Cites Work

• Picone's identity for biharmonic operators on Heisenberg group and its applications
• A note on the Caccioppoli inequality for biharmonic operators
• Remarks on the qualitative questions for biharmonic operators
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