Access the full text.
Sign up today, get DeepDyve free for 14 days.
R. Osserman (1979)
DIRICHLET'S PRINCIPLE, CONFORMAL MAPPING AND MINIMAL SURFACESBulletin of The London Mathematical Society, 11
S. Warschawski (1960)
On Hadamard's Variation Formula for Green's FunctionIndiana University Mathematics Journal, 9
Compositio Mathematica, S. Bergman, M. Schiffer (1951)
Kernel functions and conformal mappingCompositio Mathematica, 8
R. Barnard, John Lewis (1975)
Subordination theorems for some classes of starlike fumctionsPacific Journal of Mathematics, 56
Wancang Ma, D. Minda (1995)
Hyperbolic linear invariance and hyperbolic k-convexityJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 58
S. Warschawski (1969)
A perturbation method in conformal mappingaequationes mathematicae, 3
S E Warschawski (1960)
On Hadamard’s variation formula for Green’s functionJ. Math. Mech., 9
Eric Schippers (2003)
Conformal invariants and higher-order schwarz lemmasJournal d’Analyse Mathématique, 90
B. Rodin (1986)
Behavior of the riemann mapping function under complex analytic deformations of the domainComplex Variables and Elliptic Equations, 5
T. Ransford (1995)
Potential Theory in the Complex Plane: Bibliography
R Courant (1977)
10.1007/978-1-4612-9917-2Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces
A variational formula is derived for Green’s function of multiply connected planar domains under homotopy of the boundary. The formula shows that up to first order, a homotopy behaves like the Hadamard variation. This is applied to show that certain expressions in the derivatives of Green’s function are monotonic with respect to set inclusion.
Computational Methods and Function Theory – Springer Journals
Published: May 1, 2005
Keywords: Hadamard variation; Bergman kernel; 30C40; 30C70
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.