In this paper, we study the complex Hessian equations by an gradient flow method. We prove a Sobolev inequality for k-plurisubharmonic functions analogous to that for real Hessian equations (Wang in Indiana Univ Math J 43:25-54, 1994; Lecture Notes in Ma
none3siWe study relations between the k-Hessian energy, and the fractional Sobolev energy , where F ...
By using quasi-Banach techniques as key ingredient we prove Poincaré- and Sobolev- type inequalities...
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to th...
The $k$-Hessian operator $\sigma_k$ is the $k$-th elementary symmetric function of the eigenvalues o...
The k-Hessian equation for k≥2 is a class of fully nonlinear partial differential equation of diverg...
In this paper we deduce a formula for the fractional Laplace operator on radially symmetric functio...
In this paper we deduce a formula for the fractional Laplace operator on radially symmetric functio...
none2siIn this paper we deduce a formula for the fractional Laplace operator on radially symmetric ...
We study relations between the k-Hessian energy, and the fractional Sobolev energy , where F k (k = ...
We study relations between the k-Hessian energy, and the fractional Sobolev energy , where F k (k = ...
29 pagesInternational audienceA viscosity approach is introduced for the Dirichlet problem associate...
29 pagesInternational audienceA viscosity approach is introduced for the Dirichlet problem associate...
The k-Hessian is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessi...
The k-Hessian is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessi...
A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional t...
none3siWe study relations between the k-Hessian energy, and the fractional Sobolev energy , where F ...
By using quasi-Banach techniques as key ingredient we prove Poincaré- and Sobolev- type inequalities...
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to th...
The $k$-Hessian operator $\sigma_k$ is the $k$-th elementary symmetric function of the eigenvalues o...
The k-Hessian equation for k≥2 is a class of fully nonlinear partial differential equation of diverg...
In this paper we deduce a formula for the fractional Laplace operator on radially symmetric functio...
In this paper we deduce a formula for the fractional Laplace operator on radially symmetric functio...
none2siIn this paper we deduce a formula for the fractional Laplace operator on radially symmetric ...
We study relations between the k-Hessian energy, and the fractional Sobolev energy , where F k (k = ...
We study relations between the k-Hessian energy, and the fractional Sobolev energy , where F k (k = ...
29 pagesInternational audienceA viscosity approach is introduced for the Dirichlet problem associate...
29 pagesInternational audienceA viscosity approach is introduced for the Dirichlet problem associate...
The k-Hessian is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessi...
The k-Hessian is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessi...
A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional t...
none3siWe study relations between the k-Hessian energy, and the fractional Sobolev energy , where F ...
By using quasi-Banach techniques as key ingredient we prove Poincaré- and Sobolev- type inequalities...
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to th...
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