Steiner symmetry in the minimization of the first eigenvalue in problems involving the 𝑝-Laplacian

DOI10.1090/proc/12972zbMath1338.35311OpenAlexW2344840052MaRDI QIDQ2809198

Fabrizio Cuccu, Claudia Anedda

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12972

zbMATH Keywords

eigenvalue problemminimizationSteiner symmetry

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

A rearrangement minimization problem related to a nonlinear parametric boundary value problem ⋮ Steiner symmetry in the minimization of the first eigenvalue of a fractional eigenvalue problem with indefinite weight ⋮ Finite element analysis of a new phase field model with \(p\)-Laplacian operator ⋮ On the optimization of the first weighted eigenvalue ⋮ Optimal shape design for the \(p\)-Laplacian eigenvalue problem ⋮ Maximization of the first eigenvalue in problems involving the bi-Laplacian ⋮ Optimal configuration and symmetry breaking phenomena in the composite membrane problem with fractional Laplacian ⋮ Symmetry in the composite plate problem ⋮ On the first frequency of reinforced partially hinged plates ⋮ Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates

Cites Work

• On singular sets of local solutions to \(p\) -Laplace equations
• Regularity of the minimizers in the composite membrane problem in \(\mathbb R^2\)
• Regularity for a more general class of quasilinear equations
• Minimization problems for eigenvalues of the Laplacian.
• A strong maximum principle for some quasilinear elliptic equations
• Steiner symmetric extremals in Pólya-Szegő-type inequalities
• Linear and quasilinear elliptic equations
• A symmetry problem in potential theory
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
• Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
• Elliptic Partial Differential Equations of Second Order
• Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
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