Rearrangements and minimization of the principal eigenvalue of a nonlinear Steklov problem

DOI10.1016/j.na.2011.05.056zbMath1220.35107OpenAlexW1984299763MaRDI QIDQ555098

Mohsen Zivari-Rezapour, Behrouz Emamizadeh

Publication date: 22 July 2011

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.2011.05.056

zbMATH Keywords

existenceuniquenessprincipal eigenvalueminimizationSteklov eigenvalue problemrearrangement theory

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods for second-order elliptic equations (35J20) Variational methods for eigenvalues of operators (49R05)

Related Items (6)

Maximax rearrangement optimization related to a homogeneous Dirichlet problem ⋮ Optimal harvesting strategy based on rearrangements of functions ⋮ Maximization and minimization problems related to an equation with the \(p\)-Laplacian ⋮ A class of rearrangement optimization problems involving the \(p\)-Laplacian ⋮ Approximation of the least Rayleigh quotient for degree \(p\) homogeneous functionals ⋮ Solvable optimization problems involving a p-Laplacian type operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An optimization problem for the first Steklov eigenvalue of a nonlinear problem.
• Rearrangements of functions, maximization of convex functionals, and vortex rings
• Variational problems on classes of rearrangements and multiple configurations for steady vortices
• Regularity for a more general class of quasilinear equations
• Some boundary value problems for the Bingham model
• \(S\)-shaped bifurcation branch in a quasilinear multivalued model arising in climatology
• Elliptic partial differential equations of second order
• Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
• Windows of given area with minimal heat diffusion
• On some boundary value problems for the equation ∇ • ( F (|∇ w |)∇ w ) = 0
• Positive eigenfunctions for the p-Laplace operator revisited
• On harnack type inequalities and their application to quasilinear elliptic equations

This page was built for publication: Rearrangements and minimization of the principal eigenvalue of a nonlinear Steklov problem