Existence and concentration of bound states of a class of nonlinear Schrödinger equations in \(\mathbb{R}^2\) with potential tending to zero at infinity

DOI10.1007/s10114-012-0524-2zbMath1259.35188OpenAlexW2031539634MaRDI QIDQ1928158

Ming Wen Fei, DaCheng Cui, Ji Hui Zhang

Publication date: 2 January 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0524-2

zbMATH Keywords

Harnack inequalitynonlinear Schrödinger equationbound stateconcentration-compactness

Mathematics Subject Classification ID

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

Related Items (1)

Spike solutions for nonlinear Schrödinger equations in 2D with vanishing potentials

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