Symmetry and rigidity for the hinged composite plate problem
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Publication:1720288
DOI10.1016/j.jde.2018.10.011zbMath1423.31003arXiv1805.10216OpenAlexW2803740520WikidataQ129097953 ScholiaQ129097953MaRDI QIDQ1720288
Francesca Colasuonno, Eugenio Vecchi
Publication date: 8 February 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.10216
biharmonic operatorrigidity resultsmoving plane methodNavier boundary conditionssymmetry of solutionscomposite plate problem
Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
- Unnamed Item
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- A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners
- The maximum principle
- 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 \(\mathbb R^2\)
- Some estimates and maximum principles for weakly coupled systems of elliptic PDE
- Symmetry and related properties via the maximum principle
- Symmetry properties in systems of semilinear elliptic equations
- On overdetermined boundary value problems for the biharmonic operator
- Monotonicity and symmetry of solutions of elliptic systems in general domains
- Elliptic partial differential equations of second order
- On some second order and fourth order elliptic overdetermined problems
- Serrin's result for domains with a corner or cusp
- Faber-Krahn and Lieb-type inequalities for the composite membrane problem
- Remarks on a polyharmonic eigenvalue problem
- Minimization of inhomogeneous biharmonic eigenvalue problems
- The singular set for the composite membrane problem
- Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities
- On a conjecture for an overdetermined problem for the biharmonic operator
- A symmetry problem in potential theory
- Remark on the preceding paper of Serrin
- Critical exponents and critical dimensions of polyharmonic operators
- Symmetry Results for Cooperative Elliptic Systems via Linearization
- Symmetry in an Overdetermined Fourth Order Elliptic Boundary Value Problem
- Conformal Geometry and the Composite Membrane Problem
- Where Best to Place a Dirichlet Condition in an Anisotropic Membrane?
- On the method of moving planes and the sliding method
- On Hopf's Lemma and the Strong Maximum Principle
- On the regularity of the solution of the Poisson problem on a domain with boundary locally similar to the boundary of a convex open set
- Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
