A nonexistence result for a class of quasilinear Schrödinger equations with Berestycki-Lions conditions-Reference-Cited by-同舟云学术

A nonexistence result for a class of quasilinear Schrödinger equations with Berestycki-Lions conditions

Published:2023 Issue:5 Volume:37 Page:1497-1506
ISSN:0354-5180
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language:en
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Author:

He Yubo¹,Chen Jianhua²,Gao Quan³

Affiliation:

1. School of Mathematics and Computation Science, Huaihua University, Huaihua, Hunan, P.R. China

2. Department of Mathematics, Nanchang University, Nanchang, Jiangxi, P.R. China

3. School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan, P.R. China

Abstract

In this paper, we study the following quasilinear Schr?dinger equation ??u + V(x)u ? [?(1 + u2)1/2] u/2(1 + u2)1/2 = h(u), x ? RN, where N ? 3, 2+ = 2N/ N?2, V(x) is a potential function. Unlike V ? C2(RN), we only need to assume that V ? C1(RN). By using a change of variable, we prove the non-existence of ground state solutions with Berestycki-Lions conditions, which contain the superliner case: lim s?+? h(s) s = +? and asymptotically linear case: lim s?+? h(s) s = ?. Our results extend and complement the results in related literature.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference22 articles.

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