Multiple normalized solutions for ( 2 , q ) -Laplacian equation problems in whole R N

• Published in: Electronic journal of qualitative theory of differential equations no. 48; pp. 1 - 19
• Main Authors: Chen, Renhua, Wang, Li, Song, Xin
• Format: Journal Article
• Language: English
• Published: 2024

This paper considers the existence of multiple normalized solutions of the following ( 2 , q ) -Laplacian equation: { − Δ u − Δ q u = λ u + h ( ϵ x ) f ( u ) , i n   R N , ∫ R N | u | 2 d x = a 2 , where 2 < q < N , ϵ > 0 , a > 0 and λ ∈ R is a Lagrange multiplier which is unknown, h is...