Existence for bounded positive solutions of Schrödinger equations in two-dimensional exterior domains

DOI10.1016/J.JMAA.2006.10.038zbMath1183.35126OpenAlexW2087162768MaRDI QIDQ882030

Jiqin Deng

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.038

zbMATH Keywords

fixed point theorypositive solutionSchrödinger equationsexterior domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Applications of operator theory to differential and integral equations (47N20)

Related Items (3)

Existence for bounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains ⋮ Existence of unbounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains ⋮ Existence of global positive solutions of semilinear elliptic equations

Cites Work

• Unnamed Item
• 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
• Nonoscillatory solutions for discrete equations
• Positive solutions of second-order differential equations
• Bounded positive solutions of Schrödinger equations in two-dimensional exterior domains
• Bounded Positive Solutions of Semilinear Schrödinger Equations
• Positive solutions of nonlinear elliptic equations in the Euclidean plane
• Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients

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