Bounded solutions of some nonlinear elliptic equations in cylindrical domains

DOI10.1007/BF02227486zbMath0893.35035OpenAlexW2077482011MaRDI QIDQ1366872

Marta València, Àngel Calsina, Joan Solà-Morales

Publication date: 11 November 1997

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02227486

zbMATH Keywords

uniquenesscompact global attractororder-preserving property

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35)

Related Items (3)

Response solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequency ⋮ Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit ⋮ A smooth center manifold theorem which applies to some ill-posed partial differential equations with unbounded nonlinearities

Cites Work

• The asymptotic behavior of the solutions of some semilinear elliptic equations in cylindrical domains
• The dynamical approach to elliptic problems in cylindrical domains, and a study of their parabolic singular limit
• Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder
• Wave-solutions of reversible systems and applications
• Elliptic Partial Differential Equations of Second Order
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