Open problems on eigenvalues of the Laplacian, in Analytic and geometric inequalities and applications, Math. Appl., Kluwer Acad. Publ, vol.478, pp.13-28, 1999. ,
Isoperimetric and universal inequalities for eigenvalues, in Spectral theory and geometry, pp.95-139, 1998. ,
Symmetry Breaking and Other Phenomena in the Optimization of Eigenvalues for Composite Membranes, Communications in Mathematical Physics, vol.214, issue.2, pp.315-337, 2000. ,
DOI : 10.1007/PL00005534
Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold, Illinois J. Math ,
URL : https://hal.archives-ouvertes.fr/hal-00145250
Beweis, dass unter allen homogenen membranen von gleicher fläche und gleicher spannung die kreisförmige den tiefsten grundton gibt, Sitz. Ber. Bayer. Akad. Wiss, pp.169-172, 1923. ,
Convexity of domain functionals, Journal d'Analyse Math??matique, vol.40, issue.2, pp.281-368, 1953. ,
DOI : 10.1007/BF02825640
Mémoire sur leprobì eme d'analyse relatifàrelatifà l'´ equilibre des plaquesélastiquesplaquesélastiques encastrées, OEuvres de J. Hadamard. Tome II. ´ Editions CNRS, pp.515-631, 1968. ,
On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue, SIAM J. Math. Anal, vol.33, pp.240-259, 2001. ,
Minimization problems for eigenvalues of the Laplacian, J. Evol. Equ, vol.3, pp.443-461, 2003. ,
DOI : 10.1007/978-3-0348-7924-8_24
URL : https://hal.archives-ouvertes.fr/hal-00115548
The method of interior parallels applied to polygonal or multiply connected membranes, Pacific Journal of Mathematics, vol.13, issue.4, pp.1229-1238, 1963. ,
DOI : 10.2140/pjm.1963.13.1229
On two functionals connected to the Laplacian in a class of doubly connected domains, Proc. Roy. Soc. Edinburgh Sect, pp.133-617, 2003. ,
DOI : 10.1017/S0308210500002560
???ber eine von Rayleigh formulierte Minimaleigenschaft des Kreises, Uber eine von Rayleigh formulierte Minimaleigenschaft des Kreises, pp.97-100, 1925. ,
DOI : 10.1007/BF01208645
Maximum principles in differential equations, 1984. ,
DOI : 10.1007/978-1-4612-5282-5
Inequalities for the minimal eigenvalue of the laplacian in an annulus, Mathematical Inequalities & Applications, vol.1, issue.4, pp.559-563, 1998. ,
DOI : 10.7153/mia-01-54
New results in the perturbation theory of eigenvalue problems, in Simultaneous linear equations and the determination of eigenvalues, National Bureau of Standards Applied Mathematics Series U. S. Government Printing Office, issue.29, pp.95-99, 1953. ,
Hadamard's Formula and Variation of Domain-Functions, American Journal of Mathematics, vol.68, issue.3, pp.417-448, 1946. ,
DOI : 10.2307/2371824
A symmetry problem in potential theory, Archive for Rational Mechanics and Analysis, vol.43, issue.4, pp.304-318, 1971. ,
DOI : 10.1007/BF00250468