On the nodal lines of second eigenfunctions of the fixed membrane problem
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Publication:917773
DOI10.1007/BF02566596zbMath0705.35003MaRDI QIDQ917773
Publication date: 1990
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/140185
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (7)
On the Nodal set of a second Dirichlet eigenfunction in a doubly connected domain ⋮ A toy Neumann analogue of the nodal line conjecture ⋮ A counterexample to Payne's nodal line conjecture with few holes ⋮ Monotone properties of the eigenfunction of Neumann problems ⋮ Nondegeneracy of the second bifurcating branches for the Chafee-Infante problem on a planar symmetric domain ⋮ On the nodal lines of second eigenfunctions of the free membrane problem ⋮ Optimal shapes for the first Dirichlet eigenvalue of the \(p\)-Laplacian and dihedral symmetry
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