Isoperimetric estimates of the solutions of a class of pseudodifferential equations and their application to crack problems

DOI10.1016/0021-8928(89)90097-XzbMath0733.73055OpenAlexW1981049072MaRDI QIDQ809689

Efim I. Shifrin

Publication date: 1989

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90097-x

zbMATH Keywords

arbitrary loadshomogeneous linearly elastic spaceinhomogeneous spaceisoperimetric estimates of the maximum openingplane normal discontinuity cracks

Mathematics Subject Classification ID

Fracture and damage (74R99) Inequalities and extremum problems involving convexity in convex geometry (52A40) Pseudodifferential operators (47G30)

Cites Work

• A method of symmetrizing functions and its application to certain problems in elasticity theory for non-uniform bodies
• A general rearrangement inequality for multiple integrals
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
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