Multiple nodal bound states for a quasilinear Schrödinger equation

DOI10.1063/1.2138045zbMath1111.34017OpenAlexW1992406944MaRDI QIDQ3438716

Jianqing Chen, Bo-ling Guo

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2138045

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

Existence of solutions for a class of quasilinear Schrödinger equations on \({\mathbb{R}}\) ⋮ Soliton solutions for quasilinear Schrödinger equations with critical growth ⋮ Existence and concentration behavior of solutions for a class of quasilinear elliptic equations with critical growth ⋮ Existence of solutions to modified nonlinear Schrödinger equations on non-compact Riemannian manifolds ⋮ Positive solutions for a class of singular quasilinear Schrödinger equations with critical Sobolev exponent ⋮ Quasilinear Schrödinger equations with a positive parameter and involving unbounded or decaying potentials ⋮ Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity ⋮ Solitary waves for a class of quasilinear Schrödinger equations in dimension two ⋮ On the existence of standing wave solutions for a class of quasilinear Schrödinger systems ⋮ On the existence and concentration of positive solutions to a class of quasilinear elliptic problems on \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}$\end{document}

Cites Work

• Characteristic values associated with a class of nonlinear second-order differential equations
• Existence of solitary waves in higher dimensions
• On the existence of soliton solutions to quasilinear Schrödinger equations
• Soliton solutions for quasilinear Schrödinger equations. II.
• Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\)
• Boundary value problems for a class of nonlinear differential equations
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method

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