We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin. Then, we discuss the existence of extremals, and in some cases, we compute the best constants
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
We study the best constant in Sobolev inequality with weights being powers of distance from the ori...
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
We study symmetry, existence, and uniqueness properties of extremal functions for a weighted Sobole...
We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functi...
In this paper we derive some Sobolev inequalities for radially symmetric functions in ˙H s with 1 2 ...
The book systematically develops the nonlinear potential theory connected with the weighted Sobolev ...
Some properties of distributions f satisfying x ¢ rf 2 Lp(Rn), 1 · p < 1, are studied. The operator ...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
We study the best constant in Sobolev inequality with weights being powers of distance from the ori...
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
We study symmetry, existence, and uniqueness properties of extremal functions for a weighted Sobole...
We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functi...
In this paper we derive some Sobolev inequalities for radially symmetric functions in ˙H s with 1 2 ...
The book systematically develops the nonlinear potential theory connected with the weighted Sobolev ...
Some properties of distributions f satisfying x ¢ rf 2 Lp(Rn), 1 · p < 1, are studied. The operator ...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
The goal of this thesis is to investigate best constants, extremal functions, and stability for diff...
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