We establish the existence of solutions to the Orlicz electrostatic
q
-capacitary Minkowski problem for polytopes. This contains a new result of the discrete
L
p
electrostatic
q
-capacitary Minkowski problem for
p
<
0
and
1
<
q
<
n
.
In this paper, we prove a theorem on the existence of solutions for a second
order differential inclusion governed by the Clarke subdifferential of a
Lipschitzian function and by a mixed semicontinuous perturbation.
In this paper, we study the existence of solutions for a system of quadratic
integral equations of Chandrasekhar type by applying fixed point theorem of
a 2 x 2 block operator matrix defined on a nonempty bounded closed convex
subsets of Banach algebras where the entries are nonlinear operators.
AbstractWe prove existence of solutions and its properties for a one-dimensional stochastic partial differential equations with fractional Laplacian and non-Lipschitz coefficients. The method of proof is eatablished by Kolmogorov’s continuity theorem and tightness arguments.
On the Discrete Orlicz Electrostatic
q
-Capacitary Minkowski Problem
