MULTIPLICITY OF NONTRIVIAL SOLUTIONS TO PERTURBED SCHRÖDINGER SYSTEM WITH MAGNETIC FIELDS

DOI10.4134/BKMS.2012.49.6.1311zbMath1388.35039OpenAlexW2045514762MaRDI QIDQ3144996

Wenbin Liu, Hui Xing Zhang

Publication date: 13 December 2012

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=410395

zbMATH Keywords

magnetic fieldsvariational methodscritical nonlinearityperturbed Schrödinger system

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

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