RT info:eu-repo/semantics/article
T1 On the gravitational potential of modified Newtonian dynamics
A1 Núñez Jiménez, Manuel
K1 Gravitación
K1 Sistema solar
K1 Ecuaciones diferenciales parciales
K1 Galaxias
K1 Functions and functionals
K1 Measure theory
K1 Potential theory
K1 Dark matter
K1 Newtonian dynamics
K1 Newtonian mechanics
AB The mathematical structure of the Poisson equation of Modified Newtonian Dynamics(MOND) is studied. The appropriate setting turns out to be an Orlicz-Sobolevspace whose Orlicz function is related to Milgrom’s μ-function, where there existsexistence and uniqueness of weak solutions. Since these do not have in principlemuch regularity, a further study is performed where the gravitational field is nottoo large, where MOND is most relevant. In that case the field turns out to beH¨older continuous. Quasilinear MOND is also analyzed.
PB American Institute of Physics
SN 0022-2488
YR 2013
FD 2013
LK http://uvadoc.uva.es/handle/10324/38736
UL http://uvadoc.uva.es/handle/10324/38736
LA eng
NO Journal of Mathematical Physics, 2012, 54, 0825021-0825028
NO Producción Científica
DS UVaDOC
RD 15-ene-2021