An existence theorem for some semilinear elliptic systems

DOI10.1016/j.jde.2006.02.014zbMath1159.35340OpenAlexW1977511146MaRDI QIDQ2499235

Michael Sever

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.02.014

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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Cites Work

• Extensions of the mountain pass theorem
• Existence of many sign-changing nonradial solutions for semilinear elliptic problems on thin annuli
• Dual variational methods in critical point theory and applications
• Tutorial on nonlinear optics
• Duality algorithms for nonconvex variational principles
• Variational and topological methods in nonlinear problems
• Backscattering and Nonparaxiality Arrest Collapse of Damped Nonlinear Waves
• Infinitely many nonradial solutions to a superlinear Dirichlet problem
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
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