Bounded Positive Solutions of Semilinear Schrödinger Equations

DOI10.1137/0513003zbMath0492.35006OpenAlexW2015034970MaRDI QIDQ3954167

Charles A. Swanson

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1137/0513003

zbMATH Keywords

positive solutionexterior domainboundedsemilinear

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

Qualitative behaviour of solutions of the Goursat problem for hyperbolic differential equations ⋮ Existence for bounded positive solutions of Schrödinger equations in two-dimensional exterior domains ⋮ Positive solutions of ⋮ Positive solutions of Schrödinger equations in two-dimensional exterior domains ⋮ Existence for bounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains ⋮ On the existence of bounded positive solutions of Schrödinger equations in two-dimensional exterior domains ⋮ Bounded positive solutions of Schrödinger equations. ⋮ Positive solutions of a class of quasilinear elliptic equations in two-dimensional exterior domains ⋮ Existence of unbounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains ⋮ Asymptotic solutions of semilinear elliptic equations ⋮ Decaying positive solutions of quasilinear elliptic equations in exterior domains in \({\mathbb R}^2\). ⋮ Applications of phase plane analysis of a Liénard system to positive solutions of Schrödinger equations

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