On the existence of bounded positive solutions of Schrödinger equations in two-dimensional exterior domains

DOI10.1016/J.AML.2007.03.001zbMath1137.35429OpenAlexW2053592394MaRDI QIDQ2472789

Amir Moradifam, Mahmoud Hesaaraki

Publication date: 25 February 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.03.001

zbMATH Keywords

fixed point theorypositive solutionSchrödinger equationsnonlinear ordinary differential equationssuper/subsolution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

A note on oscillatory integration ⋮ Asymptotically linear solutions of differential equations via Lyapunov functions

Cites Work

• Positive solutions of Schrödinger equations in two-dimensional exterior domains
• Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations
• Positive solutions of quasilinear elliptic equations in exterior domains
• Bounded positive solutions of Schrödinger equations in two-dimensional exterior domains
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Bounded Positive Solutions of Semilinear Schrödinger Equations
• Positive solutions of nonlinear elliptic equations in the Euclidean plane
• Entire Solutions of Nonlinear Poisson Equations
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