Nonlinear Schrödinger operators with zero in the spectrum

DOI10.1007/s00033-015-0511-4zbMath1326.35355OpenAlexW1989025358MaRDI QIDQ894882

Schechter, Martin

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0511-4

zbMATH Keywords

variational methodscritical point theorysemilinear differential equationssaddle point theory

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of functional analysis to differential and integral equations (46N20)

Related Items (8)

Bifurcation into spectral gaps for strongly indefinite Choquard equations ⋮ On a fractional Schrödinger equation with periodic potential ⋮ Ground state solution for a class of indefinite variational problems with critical growth ⋮ On a periodic Schrödinger equation involving periodic and nonperiodic nonlinearities in \(\mathbb{R}^2\) ⋮ Global solutions of nonlinear Schrödinger equations ⋮ Existence of ground state solution and concentration of maxima for a class of indefinite variational problems ⋮ A semilinear Schrödinger equation with zero on the boundary of the spectrum and exponential growth in ℝ2 ⋮ Existence of periodic solution for a class of beam equation via variational methods

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