Existence of solutions to the Orlicz–Minkowski problem
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.01.004
Abstract: Abstract In this paper the Orlicz–Minkowski problem, a generalization of the classical Minkowski problem, is studied. Using the variational method, we obtain a new existence result of solutions to this problem for general measures. read more here.
Keywords: minkowski problem; orlicz minkowski; existence solutions; problem ... See more keywords
On the 2-dimensional dual Minkowski problem
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.04.033
Abstract: Abstract We study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit circle u ″ + u = g ( θ ) u − 1 ( u 2 + u ′… read more here.
Keywords: dual minkowski; dimensional dual; minkowski problem; problem ... See more keywords
The L Minkowski problem for torsion
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124060
Abstract: Abstract In the present paper, we introduce the so-called L p torsion measure, L p mixed torsion. A Hadamard variational formula for torsion under the p-sum is established. As an application, the existence of solutions… read more here.
Keywords: problem torsion; minkowski problem; torsion;
Nonuniqueness of Solutions to the Lp Dual Minkowski Problem
Sign Up to like & getrecommendations! Published in 2021 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnab013
Abstract: The $L_p$ dual Minkowski problem with $p read more here.
Keywords: minkowski problem; nonuniqueness solutions; problem; solutions dual ... See more keywords
Remarks on the Abraham–Minkowski problem, in relation to recent radiation pressure experiments
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Modern Physics A"
DOI: 10.1142/s0217751x19410033
Abstract: The classic electromagnetic energy–momentum problem in matter (usually called the Abraham–Minkowski problem) has attracted increased interest, as is natural in relation to the several impressive radiation pressure experiments that have appeared recently. Our intention with… read more here.
Keywords: pressure experiments; abraham minkowski; relation; radiation pressure ... See more keywords
The discrete Orlicz chord Minkowski problem
Sign Up to like & getrecommendations! Published in 2024 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439524000766
Abstract: Abstract In this paper, we consider the discrete Orlicz chord Minkowski problem and solve the existence of this problem, which is the nontrivial extension of the discrete $L_{p}$ chord Minkowski problem for ${0 read more here.
Keywords: minkowski problem; chord minkowski; discrete orlicz; problem ... See more keywords