Triviality of bounded solutions of the stationary Ginzburg-Landau equation on spherically symmetric manifolds

DOI10.1134/S0001434617010254zbMath1368.58010OpenAlexW2593832097MaRDI QIDQ2396414

Yanyan Li

Publication date: 8 June 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617010254

zbMATH Keywords

Liouville's theoremnoncompact Riemannian manifoldstationary Ginzburg-Landau equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) PDEs on manifolds (35R01) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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• On Nonnegative Solutions of the Inequality Δ u + u^σ ≤ 0 on Riemannian Manifolds
• Nonexistence results and estimates for some nonlinear elliptic problems

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