Positive solutions for a critical quasilinear schrödinger equation

Liang Xue; Jiafa Xu; Donal O’Regan

doi:10.3934/math.2023998

Positive solutions for a critical quasilinear schrödinger equation

Liang Xue, Jiafa Xu, Donal O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In our current work we investigate the following critical quasilinear Schrödinger equation where N ≥ 3, λ > 0, ‘V; ‘K ∈ C(R_N;R⁺) and g ∈ C(R;R) has a quasicritical growth ondition. We use the dual approach and the mountain pass theorem to show that the considered problem has a positive solution when λ is a large parameter.

Original language	English
Pages (from-to)	19566-19581
Number of pages	16
Journal	AIMS Mathematics
Volume	8
Issue number	8
DOIs	https://doi.org/10.3934/math.2023998
Publication status	Published - 2023

Keywords

Dual approaches
Quasicritical growths
Quasilinear Schrödinger equations

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10.3934/math.2023998

Cite this

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title = "Positive solutions for a critical quasilinear schr{\"o}dinger equation",

abstract = "In our current work we investigate the following critical quasilinear Schr{\"o}dinger equation where N ≥ 3, λ > 0, {\textquoteleft}V; {\textquoteleft}K ∈ C(RN;R+) and g ∈ C(R;R) has a quasicritical growth ondition. We use the dual approach and the mountain pass theorem to show that the considered problem has a positive solution when λ is a large parameter.",

keywords = "Dual approaches, Quasicritical growths, Quasilinear Schr{\"o}dinger equations",

author = "Liang Xue and Jiafa Xu and Donal O{\textquoteright}Regan",

year = "2023",

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journal = "AIMS Mathematics",

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T1 - Positive solutions for a critical quasilinear schrödinger equation

AU - Xue, Liang

AU - Xu, Jiafa

AU - O’Regan, Donal

PY - 2023

Y1 - 2023

N2 - In our current work we investigate the following critical quasilinear Schrödinger equation where N ≥ 3, λ > 0, ‘V; ‘K ∈ C(RN;R+) and g ∈ C(R;R) has a quasicritical growth ondition. We use the dual approach and the mountain pass theorem to show that the considered problem has a positive solution when λ is a large parameter.

AB - In our current work we investigate the following critical quasilinear Schrödinger equation where N ≥ 3, λ > 0, ‘V; ‘K ∈ C(RN;R+) and g ∈ C(R;R) has a quasicritical growth ondition. We use the dual approach and the mountain pass theorem to show that the considered problem has a positive solution when λ is a large parameter.

KW - Dual approaches

KW - Quasicritical growths

KW - Quasilinear Schrödinger equations

UR - https://www.scopus.com/pages/publications/85175104728

U2 - 10.3934/math.2023998

DO - 10.3934/math.2023998

M3 - Article

AN - SCOPUS:85175104728

SN - 2473-6988

VL - 8

SP - 19566

EP - 19581

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 8

ER -

Positive solutions for a critical quasilinear schrödinger equation

Abstract

Keywords

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