A new infinite-dimensional linking theorem for parameter-dependent functionals and periodic Schrödinger equations

DOI10.1016/J.JMAA.2015.06.041zbMath1346.49015OpenAlexW761123825MaRDI QIDQ495160

Shaowei Chen, Liqin Xiao, Lishan Lin

Publication date: 9 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.041

zbMATH Keywords

sign-changing nonlinearitiesinfinite-dimensional linking theoremparameter-dependent functionalsperiodic Schrödinger equations

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

A note on nonlinear Schrödinger equations: the relation between spectral gaps and the nonlinearity ⋮ Multiple solutions for a Choquard system with periodic potential

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