On the continuation principle of local smooth solution for the Hall-MHD equations

Existence of Three Solutions for Nonlinear Operator Equations and Applications to Second-Order Differential Equations

“…Moreover, after the three critical points theorem (see [5,6]) of Ricceri appearing, it has proved to be one of the most often widely used to solve differential equations, such as elliptic partial differential equations satisfying Dirichlet boundary value conditions (see [7][8][9][10][11][12]) and second-order Hamiltonian systems satisfying periodic boundary value conditions (see [3,13]). Recently, a general three critical points theorem is given by Averna-Bonanno [14].…”

The Galerkin Method for Fourth-Order Equation of the Moore–Gibson–Thompson Type with Integral Condition

“…In the next work, we will try to use the same method with the Hall-MHD equations which are nonlinear partial differential equation that arises in hydrodynamics and some physical applications. It was subsequently applied to problems in the percolation of water in porous subsurface strata (see for example [45][46][47][48]) by using some famous algorithms (see [49][50][51])…”

Constant sign and nodal solutions for parametric anisotropic (p, 2) -equations

“…• užička [2] (electrorheological and magnetorheological fluids), Zhikov [3] (nonlinear elasticity theory), and Agarwal-Alghamdi-Gala-Ragusa [4], Ragusa-Tachikawa [5] (double phase problems). Recently there have been some existence and multiplicity results for various types of (p, q)-equations with nonstandard growth.…”