Complex Solutions in Magnetic Schrodinger Equations with Critical Nonlinear Terms

S. Jain; F. Hashemi; M. Alimohammady; C. Cesarano; P. Agarwal

doi:10.69624/2222-5498.2024.2.61

Complex Solutions in Magnetic Schrodinger Equations with Critical Nonlinear Terms

S. Jain
, F. Hashemi
, M. Alimohammady
, C. Cesarano
, P. Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
Mazandaran University
International Telematic University Uninettuno
International College of Engineering

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

7 Scopus citations

Abstract

Through the application of minimization techniques, we demonstrate the existence of a complex solution to the magnetic Schrodinger equation (−ℏi∇ + B(y))² w + W (y)w = |w|²^{∗ −2} w in R^N, Here N ≥ 3, B: R^N → R^N represents the magnetic potential, and W: R^N → R denotes the bounded electric potential.

Original language	English
Pages (from-to)	61-71
Number of pages	11
Journal	Journal of Contemporary Applied Mathematics
Volume	14
Issue number	2
DOIs	https://doi.org/10.69624/2222-5498.2024.2.61
State	Published - 2024

Keywords

Lagrange
Magnetic Schrodinger equations
concentration-compactness method
critical nonlinearities
minimization problem

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10.69624/2222-5498.2024.2.61

Cite this

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title = "Complex Solutions in Magnetic Schrodinger Equations with Critical Nonlinear Terms",

abstract = "Through the application of minimization techniques, we demonstrate the existence of a complex solution to the magnetic Schrodinger equation (−ℏi∇ + B(y))2 w + W (y)w = |w|2∗ −2 w in RN, Here N ≥ 3, B: RN → RN represents the magnetic potential, and W: RN → R denotes the bounded electric potential.",

keywords = "Lagrange, Magnetic Schrodinger equations, concentration-compactness method, critical nonlinearities, minimization problem",

author = "S. Jain and F. Hashemi and M. Alimohammady and C. Cesarano and P. Agarwal",

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T1 - Complex Solutions in Magnetic Schrodinger Equations with Critical Nonlinear Terms

AU - Jain, S.

AU - Hashemi, F.

AU - Alimohammady, M.

AU - Cesarano, C.

AU - Agarwal, P.

PY - 2024

Y1 - 2024

N2 - Through the application of minimization techniques, we demonstrate the existence of a complex solution to the magnetic Schrodinger equation (−ℏi∇ + B(y))2 w + W (y)w = |w|2∗ −2 w in RN, Here N ≥ 3, B: RN → RN represents the magnetic potential, and W: RN → R denotes the bounded electric potential.

AB - Through the application of minimization techniques, we demonstrate the existence of a complex solution to the magnetic Schrodinger equation (−ℏi∇ + B(y))2 w + W (y)w = |w|2∗ −2 w in RN, Here N ≥ 3, B: RN → RN represents the magnetic potential, and W: RN → R denotes the bounded electric potential.

KW - Lagrange

KW - Magnetic Schrodinger equations

KW - concentration-compactness method

KW - critical nonlinearities

KW - minimization problem

UR - https://www.scopus.com/pages/publications/85211470777

U2 - 10.69624/2222-5498.2024.2.61

DO - 10.69624/2222-5498.2024.2.61

M3 - Article

AN - SCOPUS:85211470777

SN - 2222-5498

VL - 14

SP - 61

EP - 71

JO - Journal of Contemporary Applied Mathematics

JF - Journal of Contemporary Applied Mathematics

IS - 2

ER -

Complex Solutions in Magnetic Schrodinger Equations with Critical Nonlinear Terms

Abstract

Keywords

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