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arXiv · 2509.12707

Normalized solutions of quasilinear Schr\"odinger equation with Sobolev critical exponent on star-shaped bounded domains

Ru Yan
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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.

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Ru Yan. 2025-09-16. Normalized solutions of quasilinear Schr\"odinger equation with Sobolev critical exponent on star-shaped bounded domains. https://arxiv.org/abs/2509.12707

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