Ground state solutions and geometrically distinct solutions for generalized quasilinear Schrödinger equation | Zendy

Li Quanqing | Zendy; Teng Kaimin | Zendy; Wu Xian | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Ground state solutions and geometrically distinct solutions for generalized quasilinear Schrödinger equation

Author(s) -

Li Quanqing,

Teng Kaimin,

Wu Xian

Publication year - 2017

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4131

Subject(s) - mathematics , ground state , function (biology) , schrödinger equation , state (computer science) , mathematical physics , mathematical analysis , pure mathematics , physics , quantum mechanics , algorithm , evolutionary biology , biology

In this paper, we study the following generalized quasilinear Schrödinger equation− div ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) | ∇ u | 2 + V ( x ) u = f ( x , u ) , x ∈ R N ,where N ≥3, g : R → R +is a C 1 even function, g (0) = 1 and g ′ ( s ) > 0 for all s > 0. Under some suitable conditions, we prove that the equation has a ground state solution and infinitely many pairs ± u of geometrically distinct solutions. Copyright © 2016 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research