Bound States of 2-D Nonlinear Schrödinger Equations with Potentials Tending to Zero at Infinity

DOI10.1137/110846919zbMath1283.35123OpenAlexW2018969798MaRDI QIDQ2855128

Hui Cheng Yin, Ming Wen Fei

Publication date: 24 October 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6b354c6575420bca0685913fa78efdcdfdefca50

zbMATH Keywords

nonlinear Schrödinger equationground stateself-focusingcritical dimension

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Positive solutions to PDEs (35B09)

Related Items (5)

Existence of solutions to nonlinear Schrödinger equations involving \(N\)-Laplacian and potentials vanishing at infinity ⋮ Existence and concentration of bound states of a class of nonlinear Schrödinger equations in \(\mathbb{R}^2\) with potential tending to zero at infinity ⋮ Stationary nonlinear Schrödinger equations in \(\mathbb {R}^2\) with potentials vanishing at infinity ⋮ Kirchhoff–Schrödinger equations in ℝ2 with critical exponential growth and indefinite potential ⋮ Spike solutions for nonlinear Schrödinger equations in 2D with vanishing potentials

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