Multiplicity result to a singular quasilinear Schrödinger equation

Kaushik Bal; Prashanta Garain; Indubaran Mandal; Konijeti Sreenadh

doi:10.1016/j.jmaa.2020.124904

Multiplicity result to a singular quasilinear Schrödinger equation

Kaushik Bal, Prashanta Garain, Indubaran Mandal, Konijeti Sreenadh

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

By analysing the structure of the fibering map associated with the Euler functional and the Nehari manifold technique, we prove that the following quasilinear singular Schrödinger equation, [Formula presented] admits at least two weak solutions in X:={u∈H₀¹(Ω):u²∈H₀¹(Ω)} for λ>0 small, provided Ω is a bounded smooth domain in R^N(≥3), 0<q<1 and [Formula presented].

Original language	English
Article number	124904
Journal	Journal of Mathematical Analysis and Applications
Volume	497
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2020.124904
State	Published - 15 May 2021
Externally published	Yes

Keywords

Fibering method
Nehari manifold
Schrödinger equation
Singular nonlinearity

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2020.124904

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title = "Multiplicity result to a singular quasilinear Schr{\"o}dinger equation",

abstract = "By analysing the structure of the fibering map associated with the Euler functional and the Nehari manifold technique, we prove that the following quasilinear singular Schr{\"o}dinger equation, [Formula presented] admits at least two weak solutions in X:={u∈H01(Ω):u2∈H01(Ω)} for λ>0 small, provided Ω is a bounded smooth domain in RN(≥3), 0",

keywords = "Fibering method, Nehari manifold, Schr{\"o}dinger equation, Singular nonlinearity",

author = "Kaushik Bal and Prashanta Garain and Indubaran Mandal and Konijeti Sreenadh",

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AU - Bal, Kaushik

AU - Garain, Prashanta

AU - Mandal, Indubaran

AU - Sreenadh, Konijeti

PY - 2021/5/15

Y1 - 2021/5/15

N2 - By analysing the structure of the fibering map associated with the Euler functional and the Nehari manifold technique, we prove that the following quasilinear singular Schrödinger equation, [Formula presented] admits at least two weak solutions in X:={u∈H01(Ω):u2∈H01(Ω)} for λ>0 small, provided Ω is a bounded smooth domain in RN(≥3), 0

AB - By analysing the structure of the fibering map associated with the Euler functional and the Nehari manifold technique, we prove that the following quasilinear singular Schrödinger equation, [Formula presented] admits at least two weak solutions in X:={u∈H01(Ω):u2∈H01(Ω)} for λ>0 small, provided Ω is a bounded smooth domain in RN(≥3), 0

KW - Fibering method

KW - Nehari manifold

KW - Schrödinger equation

KW - Singular nonlinearity

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DO - 10.1016/j.jmaa.2020.124904

M3 - Article

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VL - 497

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 124904

ER -

Multiplicity result to a singular quasilinear Schrödinger equation

Abstract

Keywords

ASJC Scopus subject areas

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