We analyze the effects of modified gravity on specific heats electrons and ions, Debye temperature, crystallization process, cooling mechanism in white dwarfs. derive Lane-Emden-Chandrasekhar equation relate it to process equations for Palatini $f(R)$ gravity. Moreover, first time literature, we show that model plays a crucial role not only mass size dwarf, but also affects their internal prope...

In this paper, we propose a method for solving some classes of the singular fractional nonlinear Lane-Emden type equations. The is proposed by utilizing second-kind Chebyshev wavelets in conjunction with quasilinearization technique. operational matrices are used. tested on standard equation, isothermal gas spheres and other examples. We compare results produced present well-known to show accur...

The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane–Emden type, including the following two model problems: −∆pu = u + μ, Fk[−u] = u + μ, u ≥ 0, on R, or on a bounded domain Ω ⊂ R. Here ∆p is the pLaplacian defined by ∆pu = div (∇u|∇u|p−2), and Fk[u] is the k-Hessian defined as the sum of k× k principal minors o...