Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Wagner, Alfred"'
We explore recent progress and open questions concerning local minima and saddle points of the Cahn--Hilliard energy in $d\geq 2$ and the critical parameter regime of large system size and mean value close to $-1$. We employ the String Method of E, R
Externí odkaz:
http://arxiv.org/abs/2104.03689
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 energy. We also show how two-point rearrangements can be used to estab
Externí odkaz:
http://arxiv.org/abs/1907.08112
Autor:
Bandle, Catherine, Wagner, Alfred
The paper deals with an eigenvalue problems possessing infinitely many positive and negative eigenvalues. Inequalities for the smallest positive and the largest negative eigenvalues, which have the same properties as the fundamental frequency, are de
Externí odkaz:
http://arxiv.org/abs/1512.04699
The Cahn-Hilliard energy landscape on the torus is explored in the critical regime of large system size and mean value close to $-1$. Existence and properties of a "droplet-shaped" local energy minimizer are established. A standard mountain pass argu
Externí odkaz:
http://arxiv.org/abs/1510.00061
Autor:
Knappmann, Kathrin, Wagner, Alfred
We prove the following uniqueness result for the buckling plate. Assume there exists a smooth domain which minimizes the first buckling eigenvalue for a plate among all smooth domains of given volume. Then the domain must be a ball. The proof uses th
Externí odkaz:
http://arxiv.org/abs/1408.6982
Autor:
Bandle, Catherine, Wagner, Alfred
We consider the energy of the torsion problem with Robin boundary conditions in the case where the solution is not a minimizer. Its dependence on the volume of the domain and the surface area of the boundary is discussed. In contrast to the case of p
Externí odkaz:
http://arxiv.org/abs/1406.3142
Autor:
Bandle, Catherine, Wagner, Alfred
An inequality for the reverse Bossel-Daners inequality is derived by means of the harmonic transplantation and the first shape derivative. This method is then applied to elliptic boundary value problems with inhomogeneous Neumann conditions. The firs
Externí odkaz:
http://arxiv.org/abs/1403.3249
Autor:
Bandle, Catherine, Wagner, Alfred
In this paper the first and second domain variation for functionals related to elliptic boundary and eigenvalue problems with Robin boundary conditions is computed. Minimality and maximality properties of the ball among nearly circular domains of giv
Externí odkaz:
http://arxiv.org/abs/1403.2220