A maximum principle for the system \(\Delta u- \nabla W(u)=0\)

DOI10.1016/j.crma.2016.03.015zbMath1338.35080OpenAlexW2336803382MaRDI QIDQ282859

Panagiotis Antonopoulos, Panayotis Smyrnelis

Publication date: 12 May 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.03.015

zbMATH Keywords

minimal solutions

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items (1)

Some remarks on energy inequalities for harmonic maps with potential

Cites Work

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• A maximum principle for systems with variational structure and an application to standing waves
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• Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids
• Functional analysis, Sobolev spaces and partial differential equations
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Instability results for reaction-diffusion equations with Neumann boundary conditions
• Local minimisers and singular perturbations
• A strong maximum principle for parabolic systems in a convex set with arbitrary boundary

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