Normalized solutions of quasilinear Schrödinger equation with Sobolev critical exponent on star-shaped bounded domains
Ru Yan
Published: 2025/9/16
Abstract
In this paper, we consider a quasilinear Schr\"odinger equation with critical exponent on bounded domains. Via a dual approach, we establish the existence of two positive normalized solutions: one is a ground state and the other is a mountain pass solution.