The monotonicity of the \(p\)-torsional rigidity in convex domains
DOI10.1007/S00209-022-03069-6zbMath1497.35458OpenAlexW4283393172MaRDI QIDQ2163310
Cristian Enache, Denisa Stancu-Dumitru, Mihai Mihăilescu
Publication date: 10 August 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-022-03069-6
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Equations involving nonlinear operators (general) (47J05) Plastic materials, materials of stress-rate and internal-variable type (74C99) Variational principles of physics (49S05) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
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- Solutions of the Cheeger problem via torsion functions
- On functionals involving the torsional rigidity related to some classes of nonlinear operators
- Strong convergence of the gradients for \(p\)-Laplacian problems as \(p \rightarrow \infty \)
- A monotonicity property of the \(p\)-torsional rigidity
- On principal frequencies and isoperimetric ratios in convex sets
- On the monotonicity of the principal frequency of the \(p\)-Laplacian
- Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle
- Asymptotic behavior of the \(p\)-torsion functions as \(p\) goes to 1
- Monotonicity with respect to \(p\) of the first nontrivial eigenvalue of the \(p\)-Laplacian with homogeneous Neumann boundary conditions
- Sharp Bounds for the p-Torsion of Convex Planar Domains
- On a familiy of torsional creep problems.
- Some Applications of the Maximum Principle in the Problem of Torsional Creep
- On the monotonicity of the best constant of Morrey’s inequality in convex domains
- On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique
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