A maximum principle for systems with variational structure and an application to standing waves
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Publication:496456
DOI10.4171/JEMS/538zbMath1331.35124arXiv1311.1022MaRDI QIDQ496456
Nicholas D. Alikakos, Giorgio Fusco
Publication date: 21 September 2015
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.1022
Variational methods for elliptic systems (35J50) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47)
Related Items (11)
Layered solutions to the vector Allen-Cahn equation in \(\mathbb{R}^2\). Minimizers and heteroclinic connections ⋮ A maximum principle for the system \(\Delta u- \nabla W(u)=0\) ⋮ On the heteroclinic connection problem for multi-well gradient systems ⋮ The heteroclinic connection problem for general double-well potentials ⋮ Some remarks on energy inequalities for harmonic maps with potential ⋮ Unnamed Item ⋮ Entire minimizers of Allen-Cahn systems with sub-quadratic potentials ⋮ On the triple junction problem without symmetry hypotheses ⋮ Metric methods for heteroclinic connections in infinite dimensional spaces ⋮ Existence of periodic orbits near heteroclinic connections ⋮ Density estimates for vector minimizers and applications
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