Optimal potentials for Schrödinger operators

Author:

Buttazzo Giuseppe,Gerolin Augusto,Ruffini Berardo,Velichkov Bozhidar

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference24 articles.

1. [1] Alt, H. W.; Caffarelli, L. A. Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math., Volume 325 (1981), pp. 105-144

2. [2] Ashbaugh, M. S.; Harrell, E. M. Ii Maximal and minimal eigenvalues and their associated nonlinear equations, J. Math. Phys., Volume 28 (1987) no. 8, pp. 1770-1786

3. [3] Briançon, T.; Lamboley, J. Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints, Ann. Inst. H. Poincaré Anal. Non Linéaire, Volume 26 (2009) no. 4, pp. 1149-1163

4. [4] Bucur, D.; Buttazzo, G. Variational methods in shape optimization problems, Birkhäuser Boston, Inc., Boston, MA, Progress in Nonlinear Differential Equations and their Applications, Volume 65 (2005), viii+216 pages

5. [5] Bucur, D.; Buttazzo, G. On the characterization of the compact embedding of Sobolev spaces, Calc. Var. Partial Differential Equations, Volume 44 (2012) no. 3-4, pp. 455-475

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