We study the relationship between linear isoperimetric inequalities and the existence of non-constant positive harmonic functions on Riemann surfaces. We also study the relationship between growth conditions of length of spheres and the existence of Green's function on Riemann surfaces
This thesis falls naturally into two distinct parts. Both come under the general heading of the theo...
Abstract. We prove a new type of universal inequality between the diastole, defined using a minimax ...
We prove that the isoperimetric inequalities in the Euclidean and hyperbolic plane hold for all Eucl...
We prove that if a Riemann surface has a linear isoperimetric inequality and verifies an extra condi...
75 pages, 1 figure.-- MSC2000 code: 30F45.MR#: MR1715412 (2000j:30075)Zbl#: Zbl 0935.30028Research p...
We prove that if a Riemann surface has a linear isoperimetric in-equality and verifies an extra cond...
We define the notion of an exceptional manifold to be a flat Riemannian manifold with boundary which...
We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities an...
We study harmonic and quasi-harmonic discs in metric spaces admitting a uniformly local quadratic i...
AbstractIt is an important problem to determine when a complete noncompact Riemannian manifold admit...
We equip many noncompact nonsimply connected surfaces with smooth Riemannian metrics whose isoperime...
© 2018, Allerton Press, Inc. We obtain Lp-versions of theorems proved by J. L. Fernández and J. M. R...
ABSTRACT. Let u be a harmonic map from a unit ball B in Rn into a nonpositively curved manifold, E(u...
A. – We prove a universal inequality between the diastole, defined using a minimax process on the on...
Using the Green's function and some comparison theorems, we obtain a lower bound on the first D...
This thesis falls naturally into two distinct parts. Both come under the general heading of the theo...
Abstract. We prove a new type of universal inequality between the diastole, defined using a minimax ...
We prove that the isoperimetric inequalities in the Euclidean and hyperbolic plane hold for all Eucl...
We prove that if a Riemann surface has a linear isoperimetric inequality and verifies an extra condi...
75 pages, 1 figure.-- MSC2000 code: 30F45.MR#: MR1715412 (2000j:30075)Zbl#: Zbl 0935.30028Research p...
We prove that if a Riemann surface has a linear isoperimetric in-equality and verifies an extra cond...
We define the notion of an exceptional manifold to be a flat Riemannian manifold with boundary which...
We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities an...
We study harmonic and quasi-harmonic discs in metric spaces admitting a uniformly local quadratic i...
AbstractIt is an important problem to determine when a complete noncompact Riemannian manifold admit...
We equip many noncompact nonsimply connected surfaces with smooth Riemannian metrics whose isoperime...
© 2018, Allerton Press, Inc. We obtain Lp-versions of theorems proved by J. L. Fernández and J. M. R...
ABSTRACT. Let u be a harmonic map from a unit ball B in Rn into a nonpositively curved manifold, E(u...
A. – We prove a universal inequality between the diastole, defined using a minimax process on the on...
Using the Green's function and some comparison theorems, we obtain a lower bound on the first D...
This thesis falls naturally into two distinct parts. Both come under the general heading of the theo...
Abstract. We prove a new type of universal inequality between the diastole, defined using a minimax ...
We prove that the isoperimetric inequalities in the Euclidean and hyperbolic plane hold for all Eucl...
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