The Lp-Minkowski problem introduced by Lutwak is solved for p> n + 1 in the smooth category. The relevant Monge-Ampère equation (1) is solved for all p> 1. The same equation for p < 1 is also studied and solved for p ∈ (−n − 1, 1). When p = −n − 1 the equation is interpreted as a Minkowski problem in centroaffine geometry. A Kazdan-Warner type obstruction for this problem is obtained
In this paper we show by example that there is no uniform estimate for the Lp-Minkowski problem. As ...
The Lp dual Minkowski problem with p \u3c 0 \u3c q is investigated in this paper. By proving a new e...
We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit ...
AbstractThe Lp-Minkowski problem introduced by Lutwak is solved for p⩾n+1 in the smooth category. Th...
The Lp-Minkowski problem introduced by Lutwak is solved for p ≥ n + 1 in the smooth category. The re...
AbstractThe Lp-Minkowski problem introduced by Lutwak is solved for p⩾n+1 in the smooth category. Th...
AbstractThe Lp Minkowski problem is equivalent to solve the Monge–Ampère equationdet(uij+uδij)=up−1f...
In this paper, we study the Lp-Minkowski problem in the deeply negative range p<=-n-1. Two long stan...
AbstractGiven p≠0 and a positive continuous function g, with g(x+T)=g(x), for some 0<T<1 and all rea...
AbstractThe Lp Minkowski problem in the plane has been the object of a number of recent investigatio...
AbstractThe Lp Minkowski problem in the plane has been the object of a number of recent investigatio...
In this paper we study the Lp-Minkowski problem for p=-n-1, which corresponds to the critical expone...
In this paper, we prove the existence of complete, noncompact convex hypersurfaces whose p-curvature...
AbstractC.P. Wang [Geom. Dedicata 51 (1994) 63–74] studied the Euler–Lagrange equation for the centr...
AbstractThe Lp Minkowski problem is equivalent to solve the Monge–Ampère equationdet(uij+uδij)=up−1f...
In this paper we show by example that there is no uniform estimate for the Lp-Minkowski problem. As ...
The Lp dual Minkowski problem with p \u3c 0 \u3c q is investigated in this paper. By proving a new e...
We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit ...
AbstractThe Lp-Minkowski problem introduced by Lutwak is solved for p⩾n+1 in the smooth category. Th...
The Lp-Minkowski problem introduced by Lutwak is solved for p ≥ n + 1 in the smooth category. The re...
AbstractThe Lp-Minkowski problem introduced by Lutwak is solved for p⩾n+1 in the smooth category. Th...
AbstractThe Lp Minkowski problem is equivalent to solve the Monge–Ampère equationdet(uij+uδij)=up−1f...
In this paper, we study the Lp-Minkowski problem in the deeply negative range p<=-n-1. Two long stan...
AbstractGiven p≠0 and a positive continuous function g, with g(x+T)=g(x), for some 0<T<1 and all rea...
AbstractThe Lp Minkowski problem in the plane has been the object of a number of recent investigatio...
AbstractThe Lp Minkowski problem in the plane has been the object of a number of recent investigatio...
In this paper we study the Lp-Minkowski problem for p=-n-1, which corresponds to the critical expone...
In this paper, we prove the existence of complete, noncompact convex hypersurfaces whose p-curvature...
AbstractC.P. Wang [Geom. Dedicata 51 (1994) 63–74] studied the Euler–Lagrange equation for the centr...
AbstractThe Lp Minkowski problem is equivalent to solve the Monge–Ampère equationdet(uij+uδij)=up−1f...
In this paper we show by example that there is no uniform estimate for the Lp-Minkowski problem. As ...
The Lp dual Minkowski problem with p \u3c 0 \u3c q is investigated in this paper. By proving a new e...
We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit ...