Heteroclinic solutions of Allen-Cahn type equations with a general elliptic operator

DOI10.12775/TMNA.2018.010zbMath1423.35116OpenAlexW2807101438WikidataQ129718160 ScholiaQ129718160MaRDI QIDQ1741798

Karol Wroński

Publication date: 7 May 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1527213958

zbMATH Keywords

variational methodsAllen-Cahn equationheteroclinic solutions

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

• The maximum principle
• Slope-changing solutions of elliptic problems on \(\mathbb R^n\)
• Minimal solutions of variational problems on a torus
• On minimal laminations of the torus
• On the regularity of the minima of variational integrals
• Stationary layered solutions in \(\mathbb{R}^2\) for a class of non autonomous Allen-Cahn equations
• Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media
• Linear and quasilinear elliptic equations
• EXISTENCE OF INFINITELY MANY STATIONARY LAYERED SOLUTIONS INR²FOR A CLASS OF PERIODIC ALLEN–CAHN EQUATIONS
• Mixed states for an Allen‐Cahn type equation
• Plane-like minimizers in periodic media: jet flows and Ginzburg-Landau-type functionals
• Direct methods in the calculus of variations

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