summary:We give a new proof of Beurling’s result related to the equality of the extremal length and the Dirichlet integral of solution of a mixed Dirichlet-Neuman problem. Our approach is influenced by Gehring’s work in $\mathbb{R}^3$ space. Also, some generalizations of Gehring’s result are presented
Doctor of PhilosophyDepartment of MathematicsPietro Poggi-CorradiniThis thesis contains six chapters...
Abstract. We explain how an extremal function for the Sobolev trace inequality might be conjectured....
We review results concerning optimal sobolev inequalities in Riemanian manifolds and recent results ...
summary:We give a new proof of Beurling’s result related to the equality of the extremal length and ...
summary:We give a new proof of Beurling’s result related to the equality of the extremal length and ...
Abstract. For each 1 p < 1, we formulate a necessary and sufficient condition for an admissible ...
this paper we investigate a type of extremal problem which originates in work of A. Beurling. One of...
The object of this paper is to extend the method of extremal length to Klein surfaces by solving con...
Abstract. Extremal length is an important conformal invariant on Riemann surface which is closely re...
We present a unified description of extremal metrics for the Laplace and Steklov eigenvalues on mani...
Abstract: We formulate and solve some geometric extremal problems involving extremal distance and ha...
Doctor of PhilosophyDepartment of MathematicsPietro Poggi-CorradiniThis thesis contains six chapters...
In this paper we provide some (not new) estimates on distances from our two previous papers together...
The object of this paper is to extend the method of extremal length to Klein surfaces by solving con...
The primary purpose of this paper is to announce some results obtained by the authors, including cha...
Doctor of PhilosophyDepartment of MathematicsPietro Poggi-CorradiniThis thesis contains six chapters...
Abstract. We explain how an extremal function for the Sobolev trace inequality might be conjectured....
We review results concerning optimal sobolev inequalities in Riemanian manifolds and recent results ...
summary:We give a new proof of Beurling’s result related to the equality of the extremal length and ...
summary:We give a new proof of Beurling’s result related to the equality of the extremal length and ...
Abstract. For each 1 p < 1, we formulate a necessary and sufficient condition for an admissible ...
this paper we investigate a type of extremal problem which originates in work of A. Beurling. One of...
The object of this paper is to extend the method of extremal length to Klein surfaces by solving con...
Abstract. Extremal length is an important conformal invariant on Riemann surface which is closely re...
We present a unified description of extremal metrics for the Laplace and Steklov eigenvalues on mani...
Abstract: We formulate and solve some geometric extremal problems involving extremal distance and ha...
Doctor of PhilosophyDepartment of MathematicsPietro Poggi-CorradiniThis thesis contains six chapters...
In this paper we provide some (not new) estimates on distances from our two previous papers together...
The object of this paper is to extend the method of extremal length to Klein surfaces by solving con...
The primary purpose of this paper is to announce some results obtained by the authors, including cha...
Doctor of PhilosophyDepartment of MathematicsPietro Poggi-CorradiniThis thesis contains six chapters...
Abstract. We explain how an extremal function for the Sobolev trace inequality might be conjectured....
We review results concerning optimal sobolev inequalities in Riemanian manifolds and recent results ...
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