On the necessity of gaps

DOI10.4171/JEMS/57zbMath1245.35043OpenAlexW2011525871MaRDI QIDQ2502559

Hiroshi Matano, Paul H. Rabinowitz

Publication date: 13 September 2006

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/57

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Brake orbits type solutions to some class of semilinear elliptic equations ⋮ Gradient Lagrangian systems and semilinear PDE ⋮ Layered solutions with multiple asymptotes for non autonomous Allen-Cahn equations in \({\mathbb {R}^{3}}\) ⋮ Existence and modulation of uniform sliding states in driven and overdamped particle chains ⋮ On a phase transition model ⋮ Slope-changing solutions of elliptic problems on \(\mathbb R^n\) ⋮ Invariant circles and depinning transition ⋮ Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations

Cites Work

• Minimal solutions of variational problems on a torus
• On minimal laminations of the torus
• Stationary layered solutions in \(\mathbb{R}^2\) for a class of non autonomous Allen-Cahn equations
• Elliptic partial differential equations of second order
• Mixed states for an Allen-Cahn type equation. II
• EXISTENCE OF INFINITELY MANY STATIONARY LAYERED SOLUTIONS INR²FOR A CLASS OF PERIODIC ALLEN–CAHN EQUATIONS
• Mixed states for an Allen‐Cahn type equation

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