Access the full text.
Sign up today, get DeepDyve free for 14 days.
R. Laugesen, C. Morpurgo (1998)
Extremals for Eigenvalues of Laplacians under Conformal MappingJournal of Functional Analysis, 155
(2006)
Summen reziproker Eigenwerte
P. Duren, J. Pfaltzgraff (1993)
Robin capacity and extremal lengthJournal of Mathematical Analysis and Applications, 179
R. Laugesen (1998)
Eigenvalues of Laplacians with mixed boundary conditions, under conformal mappingIllinois Journal of Mathematics, 42
B. Dittmar (2002)
Sums of Reciprocal Eigenvalues of the LaplacianMathematische Nachrichten, 237
B. Dittmar, R. Kühnau (2000)
Zur Konstruktion der Eigenfunktionen Stekloffscher EigenwertaufgabenZeitschrift für angewandte Mathematik und Physik ZAMP, 51
P. Duren, M. Schiffer (1993)
Robin functions and distortion of capacity under conformal mappingComplex Variables and Elliptic Equations, 21
B. Dittmar (2005)
Chapter 16 - Eigenvalue Problems and Conformal Mapping, 2
Hantke Institute of Analysis and Numerics Otto-von-Guericke-University Magdeburg PSF 4120, D-39016 Magdeburg Germany Email: maren.hantke@mathematik.uni-magdeburg
B. Dittmar (2005)
Sums of free membrane eigenvaluesJournal d’Analyse Mathématique, 95
P. Duren, M. Schiffer (1991)
Robin functions and energy functionals of multiply connected domains.Pacific Journal of Mathematics, 148
(2000)
The mixed Steklov eigenvalue problem and new extremal properties of the Grötzsch ring. (Russian) Zap. Nauchn. Sem. S.-Peterburg
(2005)
Eigenvalue problems and conformal mapping Handbook of complex analysis: geometric function theory
Chie‐Ping Chu, Chih Fwu (2003)
Monotone variations of the first eigenvalue for doubly connected domainsMathematische Nachrichten, 256
B. Dittmar (2007)
SUMS OF RECIPROCAL EIGENVALUES
(1997)
Proceeding of the Third CMFT Conference
(1980)
Isoperimetric inequalities and applications. Monographs and Studies in Mathematics
C. Bandle (1980)
Isoperimetric inequalities and applications
(2000)
Solynin, The mixed Steklov eigenvalue problem and new extremal properties of the Grötzsch ring. (Russian) Zap
J. Hersch (1965)
On symmetric membranes and conformal radius: Some complements to Pólya's and Szegö's inequalitiesArchive for Rational Mechanics and Analysis, 20
(2000)
Solynin , The mixed Steklov eigenvalue problem and new extremal properties of the Grötzsch ring
F. Pockels
Über die partielle Differentialgleichung Δu + k[2]u = 0 und deren Auftreten in der mathematischen Physik
Hersch , On symmetric membranes and conformal radius : Some complements to Polya ’ s and Szegö ’ s inequalitites
(1993)
Pfaltzgraff, Robin capacity and extremal length
(1997)
Robin capacity
A. Marshall, I. Olkin, B. Arnold (1980)
Inequalities: Theory of Majorization and Its Applications
The paper deals with the Robin function and eigenvalue problems generated by the Robin operator. First we show that Green's function of an 𝑛-fold connected domain is the Robin function of an appropriate simply connected domain. The main part of the paper deals with eigenvalue problems for the Robin operator: the mixed Stekloff eigenvalue problem and the membrane problem with mixed boundary conditions. Isoperimetric inequalities are proved for the sum of reciprocal eigenvalues.
Georgian Mathematical Journal – de Gruyter
Published: Sep 1, 2007
Keywords: The Robin function; eigenvalues; membrane problem; mixed Stekloff problem
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.