Ground states of degenerate quasilinear Schrödinger equation with vanishing potentials

In this paper we study the existence of nontrivial ground state solutions for the following class of p-Laplacian type equation −diva(x,∇u)+V(x)|x|−αp∗|u|p−2u=K(x)|x|−αp∗f(u)inRN,where 1

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Bibliographic Details
Published in:Nonlinear analysis 2019-12, Vol.189, p.111587, Article 111587
Main Authors: Miyagaki, Olimpio H., Santana, Cláudia R., Vieira, Rônei S.
Format: Article
Language:English
Subjects:
[formula omitted]-Laplacian type equation
Degenerate elliptic equations
Ground state
Schrodinger equation
Schrödinger operator
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Summary:In this paper we study the existence of nontrivial ground state solutions for the following class of p-Laplacian type equation −diva(x,∇u)+V(x)|x|−αp∗|u|p−2u=K(x)|x|−αp∗f(u)inRN,where 1
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2019.111587