Add to ORKGIn \cite[section 5]{Bern15b}, Berndtsson proposed a conjectural picture for strong openness using the complex Brunn-Minkowski theory. We shall show how to realize his picture using an extra H\"ormander $\dbar$-$L^2$ estimate, which in particular gives a new proof of a sharp version of Demailly's strong openness conjecture (without using the Ohsawa-Takegoshi theorem \cite{OT}, Guan-Zhou's lemma \cite[Lemma 2.1]{GZ1} and the curve selection lemma \cite{GZ0})
AbstractWe study a non-linear minimization problem on H01(Ω)⊂Lq with q=2nn−2: inf‖u‖Lq=1∫Ω(1+|x|β|u|...
AbstractLet A2(D) be the Bergman space over the open unit disk D in the complex plane. Korenblum con...
Regularity of generalized solutions to degenerate elliptic PDE’s has received a very strong impulse ...
In this article, we consider Bergman kernels with respect to modules at boundary points, and obtain ...
AbstractIn this paper we consider two elliptic problems. The first one is a Dirichlet problem while ...
In this paper, we establish Schr\"{o}dinger maximal estimates associated with the finite type phases...
In this paper we significantly improve our previous results of reducing relative Thue inequalities t...
The purpose of this paper is to present the critical cases of the trace theorems for the restriction...
The purpose of this paper is to present the critical cases of the trace theorems for the restriction...
We provide an improvment of the maximum principle of Pon-tryagin of the optimal control problems, fo...
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensi...
AbstractIn this paper, we study the convergence of Gauss–Newton's like method for nonlinear least sq...
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensi...
In this article we study the interplay of the theory of classical Dirichlet series in one complex va...
A two-dimensional open book (S,h) determines a closed, oriented three-manifold Y(S,h) and a contact ...
AbstractWe study a non-linear minimization problem on H01(Ω)⊂Lq with q=2nn−2: inf‖u‖Lq=1∫Ω(1+|x|β|u|...
AbstractLet A2(D) be the Bergman space over the open unit disk D in the complex plane. Korenblum con...
Regularity of generalized solutions to degenerate elliptic PDE’s has received a very strong impulse ...
In this article, we consider Bergman kernels with respect to modules at boundary points, and obtain ...
AbstractIn this paper we consider two elliptic problems. The first one is a Dirichlet problem while ...
In this paper, we establish Schr\"{o}dinger maximal estimates associated with the finite type phases...
In this paper we significantly improve our previous results of reducing relative Thue inequalities t...
The purpose of this paper is to present the critical cases of the trace theorems for the restriction...
The purpose of this paper is to present the critical cases of the trace theorems for the restriction...
We provide an improvment of the maximum principle of Pon-tryagin of the optimal control problems, fo...
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensi...
AbstractIn this paper, we study the convergence of Gauss–Newton's like method for nonlinear least sq...
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensi...
In this article we study the interplay of the theory of classical Dirichlet series in one complex va...
A two-dimensional open book (S,h) determines a closed, oriented three-manifold Y(S,h) and a contact ...
AbstractWe study a non-linear minimization problem on H01(Ω)⊂Lq with q=2nn−2: inf‖u‖Lq=1∫Ω(1+|x|β|u|...
AbstractLet A2(D) be the Bergman space over the open unit disk D in the complex plane. Korenblum con...
Regularity of generalized solutions to degenerate elliptic PDE’s has received a very strong impulse ...