A monotonicity property of the \(p\)-torsional rigidity

DOI10.1016/J.NA.2021.112326zbMath1467.35311OpenAlexW3134580181MaRDI QIDQ2019405

Cristian Enache, Mihai Mihăilescu

Publication date: 21 April 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112326

zbMATH Keywords

\(p\)-Laplacian\(p\)-torsional rigiditydistance function to boundary

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Equations involving nonlinear operators (general) (47J05) Variational principles of physics (49S05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Symmetry results for overdetermined problems via \(L_p\) Brunn-Minkowski inequalities ⋮ The monotonicity of the \(p\)-torsional rigidity in convex domains ⋮ On the monotonicity of the best constant of Morrey’s inequality in convex domains

Cites Work

• Unnamed Item
• Functional analysis, Sobolev spaces and partial differential equations
• On functionals involving the torsional rigidity related to some classes of nonlinear operators
• On the monotonicity of the principal frequency of the \(p\)-Laplacian
• On a familiy of torsional creep problems.
• Some Applications of the Maximum Principle in the Problem of Torsional Creep
• Minimization problems for inhomogeneous Rayleigh quotients

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