Infinitely many solutions for diffusion equations without symmetry

DOI10.1016/j.na.2010.10.002zbMath1231.35095OpenAlexW2032439097MaRDI QIDQ622400

Fubao Zhang, Jun Wang, Junxiang Xu

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.002

zbMATH Keywords

variational methodsperiodic potentialunbounded Hamiltonian systems

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Initial value problems for second-order parabolic systems (35K45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Systems of nonlinear higher-order PDEs (35G50)

Related Items

Nonstationary homoclinic orbit for an infinite-dimensional fractional reaction-diffusion system ⋮ Nonstationary homoclinic solutions for infinite-dimensional fractional reaction-diffusion system with two types of superlinear nonlinearity ⋮ Ground state solutions for a diffusion system ⋮ Ground states for diffusion system with periodic and asymptotically periodic nonlinearity ⋮ Homoclinic orbits for an infinite dimensional Hamiltonian system with periodic potential ⋮ Ground states for reaction-diffusion equations with spectrum point zero

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