Pattern formation of the stationary Cahn-Hilliard model
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Publication:4374792
DOI10.1017/S0308210500027037zbMath0886.35021MaRDI QIDQ4374792
Publication date: 16 February 1998
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Stability in context of PDEs (35B35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
- Structured phase transitions on a finite interval
- Degenerate bifurcation at simple eigenvalues and stability of bifurcating solutions
- On the Lyapunov-stability of stationary solutions of semilinear parabolic differential equations
- Preservation of nodal structure on global bifurcation solution branches of elliptic equations with symmetry
- Uniqueness of global positive solution branches of nonlinear elliptic problems
- The gradient theory of phase transitions and the minimal interface criterion
- Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Counting stationary solutions of the Cahn–Hilliard equation by transversality arguments
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