Stationary spherically symmetric models in stellar dynamics

From MaRDI portal
Publication:1083881

DOI10.1007/BF00279958zbMath0605.70008MaRDI QIDQ1083881

W. Faltenbacher, Jürgen Batt, Ernst Horst

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)




Related Items (81)

A general way to confined stationary Vlasov-Poisson plasma configurationsOn the Jeans theorem and the ``Tolman-Oppenheimer-Volkoff equation in \(R^2\) gravityOn uniformly rotating binary stars and galaxiesOn the classification of solutions of a semilinear elliptic equationLinear stability of stationary solutions of the Vlasov-Poisson system in three dimensionsAsymptotic behavior of positive solutions for quasilinear elliptic equationsHardy-type inequalities derived from \(p\)-harmonic problemsOn static shells and the Buchdahl inequality for the spherically symmetric Einstein-Vlasov systemA second look at the Kurth solution in galactic dynamicsOrbital stability for polytropic galaxiesInfinitely many solutions for a Hardy-Sobolev equation involving critical growthRelative equilibria in continuous stellar dynamicsOn stationary solutions of the Vlasov-Poisson equationsPositive entire solutions of semilinear elliptic equations with quadratically vanishing coefficientStatic solutions of the spherically symmetric Vlasov–Einstein systemWeak solutions of the initial value problem for the unmodified non‐linear vlasov equationMultiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya termGalactic dynamics in MOND -- existence of equilibria with finite mass and compact supportInstabilities of the Relativistic Vlasov--Maxwell System on Unbounded DomainsUniqueness of static, isotropic low-pressure solutions of the Einstein-Vlasov systemSmall data solutions for the Vlasov-Poisson system with a repulsive potentialStationary solutions of the Vlasov–Poisson system for two-component plasma under an external magnetic field in a half-spaceON THE UNIQUENESS OF POSITIVE SOLUTIONS OF A QUASILINEAR EQUATION CONTAINING A WEIGHTED p-LAPLACIAN, THE SUPERLINEAR CASESeparation structure of positive radial solutions of a semilinear elliptic equation in \(\mathbf R^n\)On the transport operators arising from linearizing the Vlasov-Poisson or Einstein-Vlasov system about isotropic steady statesSome families of solutions of the Vlasov-Poisson systemsOn the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizationsExistence of axially symmetric static solutions of the Einstein-Vlasov systemBehavior of positive unbounded solutions for a class of nonhomogeneous \(p\)-Laplacian like equationsA new variational approach to the stability of gravitational systemsOrbital stability of spherical galactic modelsMini-workshop: Relativistic fluids at the intersection of mathematics and physics. Abstracts from the mini-workshop held December 13--19, 2020 (online meeting)Sur les états d'équilibre pour les densités électroniques dans les plasmasUniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson systemStationary spherically symmetric solutions of the Vlasov-Poisson system in the three-dimensional caseINFINITELY MANY SOLUTIONS FOR HARDY–SOBOLEV–MAZ'YA EQUATION INVOLVING CRITICAL GROWTHRotating clouds of charged Vlasov matter in general relativityThe orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson systemRotating, stationary, axially symmetric spacetimes with collisionless matterMass-radius spirals for steady state families of the Vlasov-Poisson systemStationary solutions of the flat Vlasov-Poisson systemThe Vlasov kinetic equation, dynamics of continuum and turbulenceA new variational approach to the stability of gravitational systemsNon-existence of entire solutions of degenerate elliptic inequalities with weightsThe radial positive solutions of the Matukuma equation in higher dimensional space: singular solutionNONLINEAR WEIGHTED p-LAPLACIAN ELLIPTIC INEQUALITIES WITH GRADIENT TERMSThe compact support principle for differential inequalities with gradient termsStationary solutions of Vlasov-Poisson equations with cylindrical symmetriesTheorems on existence and global dynamics for the Einstein equationsSign-changing solutions to elliptic problems with two critical Sobolev-Hardy exponentsLocal and global existence theorems for the Einstein equationsThe positive solutions of the Matukuma equation and the problem of finite radius and finite massThe Einstein-Vlasov system/kinetic theoryTheorems on existence and global dynamics for the Einstein equationsStable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson systemQualitative properties of ground states for singular elliptic equations with weightsMultiplicity of bounded solutions to the \(k\)-Hessian equation with a Matukuma-type sourceUnnamed ItemApproximate explicit stationary solutions to a Vlasov equation for planetary ringsStatic spherically symmetric Einstein-Vlasov bifurcations of the Schwarzschild spacetimePositive solutions for the Hardy-Sobolev-Maz'ya equation with Neumann boundary conditionExistence of sign changing solutions for an equation with a weighted \(p\)-Laplace operatorOn weak solutions of nonlinear weighted \(p\)-Laplacian elliptic inequalitiesPositive solutions for a class of equations with a \(p\)-Laplace like operator and weightsStable Ground States for the Relativistic Gravitational Vlasov–Poisson SystemNonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modellingStationary solutions of the Vlasov equations for a high-temperature two-component plasmaOn the existence of linearly oscillating galaxiesOn nonlinear stability of polytropic galaxiesInfinitely many sign-changing solutions for the Hardy-Sobolev-Maz'ya equation involving critical growthQuantitative symmetry breaking of groundstates for a class of weighted Emden–Fowler equationsSmooth steady solutions of the planar Vlasov-Poisson system with a magnetic obstacleCaccioppoli-type estimates and Hardy-type inequalities derived from weighted \(p\)-harmonic problemsThree-dimensional stationary spherically symmetric stellar dynamic models depending on the local energyStability for the Gravitational Vlasov–Poisson System in Dimension TwoA rigorous stability result for the Vlasov-Poisson system in three dimensionsStatic Solutions to the Einstein--Vlasov System with a Nonvanishing Cosmological ConstantOn a class of semilinear elliptic equations in \(\mathbb{R}^n\)A Birman–Schwinger principle in galactic dynamics: ESI, Vienna, 07–11 February 2022On the positive solutions of the Matukuma equationNon linear stability of spherical gravitational systems described by the Vlasov-Poisson equation



Cites Work


This page was built for publication: Stationary spherically symmetric models in stellar dynamics