Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝn

Abstract

The main purpose of this paper is to establish the existence of ground-state solutions to a class of Schrödinger equations with critical exponential growth involving the nonnegative, possibly degenerate, potential V:

Keywords

• sharp trudinger–moser inequalities
• degenerate potential
• ground state solutions
• schrödinger equations
• nehari manifold
• 35j10
• 35j92
• 46e35
• 35j91
• 26d10