Positive solutions for the fractional Schrödinger equations with logarithmic and critical non‐linearities
Positive solutions for the fractional Schrödinger equations with logarithmic and critical non‐linearities
In this paper, we study a class of fractional Schrödinger equations involving logarithmic and critical non-linearities on an unbounded domain, and show that such an equation with positive or sign-changing weight potentials admits at least one positive ground state solution and the associated energy is positive (or negative). By applying …