Add to ORKGWe establish some generalizations of theclassical inequalities by Polya–Szego and Makai about torsionalrigidity of convex domains. The main idea of the proof is in usingan exact isoperimetric inequality for Euclidean moments ofdomains. This inequality has a wide class of extremal regions andis of independent interest
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
© 2018, Pleiades Publishing, Ltd. Denote by P(G) the torsional rigidity of a simply connected plane ...
Denote by P(G) the torsional rigidity of a simply connected plane domain G,and by I2(G) the Euclidea...
We consider the Saint-Venant functional P for the torsional rigidity in an arbitrary plane or spatia...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used t...
We consider the Saint-Venant functional P for the torsional rigidity in an arbitrary plane or spatia...
We consider the Saint-Venant functional P for the torsional rigidity in an arbitrary plane or spatia...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to...
In this paper we prove some analogs of the St Venant conjecture on the torsional rigidity. One of th...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
© 2018, Pleiades Publishing, Ltd. Denote by P(G) the torsional rigidity of a simply connected plane ...
Denote by P(G) the torsional rigidity of a simply connected plane domain G,and by I2(G) the Euclidea...
We consider the Saint-Venant functional P for the torsional rigidity in an arbitrary plane or spatia...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used t...
We consider the Saint-Venant functional P for the torsional rigidity in an arbitrary plane or spatia...
We consider the Saint-Venant functional P for the torsional rigidity in an arbitrary plane or spatia...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to...
In this paper we prove some analogs of the St Venant conjecture on the torsional rigidity. One of th...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...
Euclidean moments of simply connected plane domains are investigated. The moments are defined as the...