5 papers
On the variety of solutions of 1-dimensional nonlinear eigenvalue problems
Catherine Bandle, Simon Stingelin, Alfred Wagner
Second order nonlinear eigenvalue problems are considered for which the spectrum is an interval. The boundary conditions are of Robin and Dirichlet type. The shape and the number o…
Numerics and analysis of Cahn--Hilliard critical points
Tobias Grafke, Sebastian Scholtes, Alfred Wagner +1
We explore recent progress and open questions concerning local minima and saddle points of the Cahn--Hilliard energy in and the critical parameter regime of large system…
Symmetry of constrained minimizers of the Cahn-Hilliard energy on the torus
Michael Gelantalis, Alfred Wagner, Maria G. Westdickenberg
We establish sufficient conditions for a function on the torus to be equal to its Steiner symmetrization and apply the result to volume-constrained minimizers of the Cahn-Hilliard…
Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues
Catherine Bandle, Alfred Wagner
The paper deals with an eigenvalue problems possessing infinitely many positive and negative eigenvalues. Inequalities for the smallest positive and the largest negative eigenvalue…
Existence and properties of certain critical points of the Cahn-Hilliard energy
Michael Gelantalis, Alfred Wagner, Maria G. Westdickenberg
The Cahn-Hilliard energy landscape on the torus is explored in the critical regime of large system size and mean value close to . Existence and properties of a "droplet-shaped"…