A Newtonian-like theory inspired by the Brans–Dicke gravitational Lagrangian has been recently proposed us. For static configurations, coupling acquires an intrinsic spatial dependence within matter distribution. Therefore, interior of astrophysical configurations may provide a testable environment for this approach as long no screening mechanism is evoked. In work, we focus on stellar hydrosta...

We introduce function spaces for the treatment of non-linear parabolic partial differential equations with variable log–Hölder continuous exponents that only incorporate information symmetric part a gradient. As an analogue Korn's inequality these functions is not available, construction appropriate smoothing method proves to be difficult. Using point-wise Poincaré near boundary bounded Lipschi...