On the planar Schrödinger equation with indefinite linear part and critical growth nonlinearity

In the present paper, we develop a direct approach to find nontrivial solutions and ground state solutions for the following planar Schrödinger equation: - Δ u + V ( x ) u = f ( x , u ) , x ∈ R 2 , u ∈ H 1 ( R 2 ) , where V ( x ) is an 1-periodic function with respect to x 1 and x 2 , 0 lies in a ga...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2021-06, Vol.60 (3), Article 95
Hauptverfasser:	Chen, Sitong, Tang, Xianhua
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus of Variations and Optimal Control Optimization Control Mathematical and Computational Physics Mathematics Mathematics and Statistics Periodic functions Schrodinger equation Systems Theory Theoretical
Online-Zugang:	Volltext
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