The behavior of solutions of semilinear elliptic equations of second order of the form \(Lu = e^u\) in the infinite cylinder

DOI10.1134/S0001434609030109zbMath1177.35086OpenAlexW2092801116MaRDI QIDQ1033940

A. V. Neklyudov

Publication date: 10 November 2009

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

Full work available at URL: https://doi.org/10.1134/s0001434609030109

zbMATH Keywords

Neumann boundary conditionPoincaré inequalitysemilinear elliptic equationHölder's inequalityDirichlet integral

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61)

Related Items (5)

Asymptotic of solutions of two-dimesional Gauss-Bierbach-Rademacher equation with variable coefficients in external area ⋮ On the absence of global solutions to the Gauss equation and solutions in external areas ⋮ On solutions of second order elliptic equations in cylindrical domains ⋮ On the Robin problem for second-order elliptic equations in cylindrical domains ⋮ The behavior of solutions of the nonlinear biharmonic equation in an unbounded domain

Cites Work

• Neumann problems in unbounded domains
• Asymptotics of solutions of Neumann's problem for the equation Δu−e^u= 0 in a semi-infinite cylinder
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