Ground State Solutions for a Quasilinear Schrödinger Equation

Standing waves for quasilinear Schrödinger equations with indefinite potentials

“…al. [39]. In [37], Wu studied the case that the nonlinearity is 4-superlinear and the potential has a positive lower bound and satisfies the condition (V ) below.…”

An Improved Result on Ground State Solutions of Quasilinear Schrödinger Equations With Super-Linear Nonlinearities

“…If f further satisfies (MN) f (t)/|t| 3 is nondecreasing for t ∈ R \ {0}, after the change of variables, the authors in [18,19] found ground state solutions of (1.1) by the Nehari technique. Without any change of variables, Liu et al [10] found ground state solutions of (1.1) with special form f (t) = |t| p−1 t for 4 ≤ p < 2 • 2 * by using a minimisation on a Nehari-type constraint for I.…”