Symmetry in the composite plate problem
From MaRDI portal
Publication:4630368
DOI10.1142/S0219199718500190zbMath1416.35102arXiv1707.08199MaRDI QIDQ4630368
Eugenio Vecchi, Francesca Colasuonno
Publication date: 26 March 2019
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.08199
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Composite and mixture properties (74E30) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Symmetry and monotonicity of singular solutions of double phase problems ⋮ Spectral Optimization of Inhomogeneous Plates ⋮ A symmetry result for cooperative elliptic systems with singularities ⋮ Optimal configuration and symmetry breaking phenomena in the composite membrane problem with fractional Laplacian ⋮ About symmetry in partially hinged composite plates ⋮ On the first frequency of reinforced partially hinged plates ⋮ Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates ⋮ Faber-Krahn and Lieb-type inequalities for the composite membrane problem ⋮ A symmetry result for elliptic systems in punctured domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A characteristic property of spheres
- A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners
- The maximum principle
- Extremal eigenvalue problems for composite membranes. II
- Weak uniqueness and partial regularity for the composite membrane problem
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Regularity of the minimizers in the composite membrane problem in \(\mathbb R^2\)
- Symmetry and related properties via the maximum principle
- Symmetry properties in systems of semilinear elliptic equations
- Extremal eigenvalue problems defined for certain classes of functions
- Elliptic partial differential equations of second order
- Eigenvalues of elliptic operators with density
- Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type
- Best constant for the embedding of the space \(H^ 2\cap H^ 1_ 0(\Omega)\) into \(L^{2N/(N-4)}\Omega\)
- Minimizing eigenvalues for inhomogeneous rods and plates
- The singular set for the composite membrane problem
- Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities
- Symmetrization and second-order Sobolev inequalities
- A symmetry problem in potential theory
- Steiner symmetry in the minimization of the first eigenvalue in problems involving the 𝑝-Laplacian
- Symmetry Results for Cooperative Elliptic Systems via Linearization
- Unique Continuation for Elliptic Equations
- Optimization problems for an elastic plate
- Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems
- Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
- Conformal Geometry and the Composite Membrane Problem
- An approach to symmetrization via polarization
- Uniqueness theorems for surfaces in the large. I, II, III, IV, V
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
