Existence and multiplicity of solutions for a quasilinear double phase problem on the whole space. Issue 2 (1st February 2023)

• Record Type: Journal Article
• Authors: Shen, Ji-Hong; Wang, Li-Yan; Chi, Kun; Ge, Bin
• Is Part Of: Complex variables and elliptic equations. Volume 68:Issue 2(2023)
• Page Start: 306
• Page End: 316
• Publication Date: 2023-02-01
• Subjects: Double phase operator -- ground states -- cerami sequences -- mountain pass theorem; 35J40 -- 35J60 -- 35J70 -- 47H11; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2021.1988585
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : In this paper, we consider a quasilinear double phase problem on the whole space. Some new criteria to guarantee the existence of ground states for the considered problem is established using the mountain pass theorem. Our results generalize some existing results.